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Finding the Third Proportional to 103,689 and 157,585

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Solution

The third proportional to 103,689 and 157,585 is: 239,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689 : 157,585 = 157,585 : x
  2. Step 2: Convert to fraction form
    103,689/157,585 = 157,585/x
  3. Step 3: Cross multiply
    103,689x = 157,585 × 157,585
  4. Step 4: Simplify right side
    103,689x = 24,833,032,225
  5. Step 5: Solve for x
    x = 24,833,032,225/103,689
  6. Step 6: Final answer
    x = 239,495.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.