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Finding the Third Proportional to 127,777,056 and 208,626,336

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Solution

The third proportional to 127,777,056 and 208,626,336 is: 340,631,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,777,056 : 208,626,336 = 208,626,336 : x
  2. Step 2: Convert to fraction form
    127,777,056/208,626,336 = 208,626,336/x
  3. Step 3: Cross multiply
    127,777,056x = 208,626,336 × 208,626,336
  4. Step 4: Simplify right side
    127,777,056x = 43,524,948,072,784,896
  5. Step 5: Solve for x
    x = 43,524,948,072,784,896/127,777,056
  6. Step 6: Final answer
    x = 340,631,952.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.