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Finding the Third Proportional to 157,782 and 342,780

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Solution

The third proportional to 157,782 and 342,780 is: 744,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782 : 342,780 = 342,780 : x
  2. Step 2: Convert to fraction form
    157,782/342,780 = 342,780/x
  3. Step 3: Cross multiply
    157,782x = 342,780 × 342,780
  4. Step 4: Simplify right side
    157,782x = 117,498,128,400
  5. Step 5: Solve for x
    x = 117,498,128,400/157,782
  6. Step 6: Final answer
    x = 744,686.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.