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Finding the Third Proportional to 15,645 and 34,746

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Solution

The third proportional to 15,645 and 34,746 is: 77,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 34,746 = 34,746 : x
  2. Step 2: Convert to fraction form
    15,645/34,746 = 34,746/x
  3. Step 3: Cross multiply
    15,645x = 34,746 × 34,746
  4. Step 4: Simplify right side
    15,645x = 1,207,284,516
  5. Step 5: Solve for x
    x = 1,207,284,516/15,645
  6. Step 6: Final answer
    x = 77,167.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.