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Finding the Third Proportional to 635,448 and 933,712

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Solution

The third proportional to 635,448 and 933,712 is: 1,371,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,448 : 933,712 = 933,712 : x
  2. Step 2: Convert to fraction form
    635,448/933,712 = 933,712/x
  3. Step 3: Cross multiply
    635,448x = 933,712 × 933,712
  4. Step 4: Simplify right side
    635,448x = 871,818,098,944
  5. Step 5: Solve for x
    x = 871,818,098,944/635,448
  6. Step 6: Final answer
    x = 1,371,973.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.