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Finding the Third Proportional to 103,689 and 160,862

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Solution

The third proportional to 103,689 and 160,862 is: 249,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689 : 160,862 = 160,862 : x
  2. Step 2: Convert to fraction form
    103,689/160,862 = 160,862/x
  3. Step 3: Cross multiply
    103,689x = 160,862 × 160,862
  4. Step 4: Simplify right side
    103,689x = 25,876,583,044
  5. Step 5: Solve for x
    x = 25,876,583,044/103,689
  6. Step 6: Final answer
    x = 249,559.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.