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Finding the Third Proportional to 316,924 and 690,712

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Solution

The third proportional to 316,924 and 690,712 is: 1,505,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,924 : 690,712 = 690,712 : x
  2. Step 2: Convert to fraction form
    316,924/690,712 = 690,712/x
  3. Step 3: Cross multiply
    316,924x = 690,712 × 690,712
  4. Step 4: Simplify right side
    316,924x = 477,083,066,944
  5. Step 5: Solve for x
    x = 477,083,066,944/316,924
  6. Step 6: Final answer
    x = 1,505,354.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.