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Finding the Third Proportional to 157,077 and 249,695

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Solution

The third proportional to 157,077 and 249,695 is: 396,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077 : 249,695 = 249,695 : x
  2. Step 2: Convert to fraction form
    157,077/249,695 = 249,695/x
  3. Step 3: Cross multiply
    157,077x = 249,695 × 249,695
  4. Step 4: Simplify right side
    157,077x = 62,347,593,025
  5. Step 5: Solve for x
    x = 62,347,593,025/157,077
  6. Step 6: Final answer
    x = 396,923.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.