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Finding the Third Proportional to 317,280 and 665,688

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Solution

The third proportional to 317,280 and 665,688 is: 1,396,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,280 : 665,688 = 665,688 : x
  2. Step 2: Convert to fraction form
    317,280/665,688 = 665,688/x
  3. Step 3: Cross multiply
    317,280x = 665,688 × 665,688
  4. Step 4: Simplify right side
    317,280x = 443,140,513,344
  5. Step 5: Solve for x
    x = 443,140,513,344/317,280
  6. Step 6: Final answer
    x = 1,396,685.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.