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Finding the Third Proportional to 304,438 and 657,140

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Solution

The third proportional to 304,438 and 657,140 is: 1,418,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,438 : 657,140 = 657,140 : x
  2. Step 2: Convert to fraction form
    304,438/657,140 = 657,140/x
  3. Step 3: Cross multiply
    304,438x = 657,140 × 657,140
  4. Step 4: Simplify right side
    304,438x = 431,832,979,600
  5. Step 5: Solve for x
    x = 431,832,979,600/304,438
  6. Step 6: Final answer
    x = 1,418,459.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.