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Finding the Third Proportional to 317,217 and 686,706

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Solution

The third proportional to 317,217 and 686,706 is: 1,486,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,217 : 686,706 = 686,706 : x
  2. Step 2: Convert to fraction form
    317,217/686,706 = 686,706/x
  3. Step 3: Cross multiply
    317,217x = 686,706 × 686,706
  4. Step 4: Simplify right side
    317,217x = 471,565,130,436
  5. Step 5: Solve for x
    x = 471,565,130,436/317,217
  6. Step 6: Final answer
    x = 1,486,569.54

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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.