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Finding the Third Proportional to 429,439,148,958 and 640,434,677,805

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Solution

The third proportional to 429,439,148,958 and 640,434,677,805 is: 955,098,242,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,439,148,958 : 640,434,677,805 = 640,434,677,805 : x
  2. Step 2: Convert to fraction form
    429,439,148,958/640,434,677,805 = 640,434,677,805/x
  3. Step 3: Cross multiply
    429,439,148,958x = 640,434,677,805 × 640,434,677,805
  4. Step 4: Simplify right side
    429,439,148,958x = 410,156,576,535,194,133,069,824
  5. Step 5: Solve for x
    x = 410,156,576,535,194,133,069,824/429,439,148,958
  6. Step 6: Final answer
    x = 955,098,242,743.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.