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Finding the Third Proportional to 272,439 and 654,507

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Solution

The third proportional to 272,439 and 654,507 is: 1,572,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,439 : 654,507 = 654,507 : x
  2. Step 2: Convert to fraction form
    272,439/654,507 = 654,507/x
  3. Step 3: Cross multiply
    272,439x = 654,507 × 654,507
  4. Step 4: Simplify right side
    272,439x = 428,379,413,049
  5. Step 5: Solve for x
    x = 428,379,413,049/272,439
  6. Step 6: Final answer
    x = 1,572,386.53

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.