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Finding the Third Proportional to 316,056 and 480,228

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Solution

The third proportional to 316,056 and 480,228 is: 729,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,056 : 480,228 = 480,228 : x
  2. Step 2: Convert to fraction form
    316,056/480,228 = 480,228/x
  3. Step 3: Cross multiply
    316,056x = 480,228 × 480,228
  4. Step 4: Simplify right side
    316,056x = 230,618,931,984
  5. Step 5: Solve for x
    x = 230,618,931,984/316,056
  6. Step 6: Final answer
    x = 729,677.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.