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Finding the Third Proportional to 320,113 and 686,882

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Solution

The third proportional to 320,113 and 686,882 is: 1,473,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,113 : 686,882 = 686,882 : x
  2. Step 2: Convert to fraction form
    320,113/686,882 = 686,882/x
  3. Step 3: Cross multiply
    320,113x = 686,882 × 686,882
  4. Step 4: Simplify right side
    320,113x = 471,806,881,924
  5. Step 5: Solve for x
    x = 471,806,881,924/320,113
  6. Step 6: Final answer
    x = 1,473,876.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.