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Finding the Third Proportional to 156,562 and 209,730

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Solution

The third proportional to 156,562 and 209,730 is: 280,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,562 : 209,730 = 209,730 : x
  2. Step 2: Convert to fraction form
    156,562/209,730 = 209,730/x
  3. Step 3: Cross multiply
    156,562x = 209,730 × 209,730
  4. Step 4: Simplify right side
    156,562x = 43,986,672,900
  5. Step 5: Solve for x
    x = 43,986,672,900/156,562
  6. Step 6: Final answer
    x = 280,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.