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Finding the Third Proportional to 284,553 and 428,706

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Solution

The third proportional to 284,553 and 428,706 is: 645,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,553 : 428,706 = 428,706 : x
  2. Step 2: Convert to fraction form
    284,553/428,706 = 428,706/x
  3. Step 3: Cross multiply
    284,553x = 428,706 × 428,706
  4. Step 4: Simplify right side
    284,553x = 183,788,834,436
  5. Step 5: Solve for x
    x = 183,788,834,436/284,553
  6. Step 6: Final answer
    x = 645,886.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.