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Finding the Third Proportional to 437,300 and 657,298

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Solution

The third proportional to 437,300 and 657,298 is: 987,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,300 : 657,298 = 657,298 : x
  2. Step 2: Convert to fraction form
    437,300/657,298 = 657,298/x
  3. Step 3: Cross multiply
    437,300x = 657,298 × 657,298
  4. Step 4: Simplify right side
    437,300x = 432,040,660,804
  5. Step 5: Solve for x
    x = 432,040,660,804/437,300
  6. Step 6: Final answer
    x = 987,973.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.