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Finding the Third Proportional to 51,109.50 and 77,587

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Solution

The third proportional to 51,109.50 and 77,587 is: 117,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,109.50 : 77,587 = 77,587 : x
  2. Step 2: Convert to fraction form
    51,109.50/77,587 = 77,587/x
  3. Step 3: Cross multiply
    51,109.50x = 77,587 × 77,587
  4. Step 4: Simplify right side
    51,109.50x = 6,019,742,569
  5. Step 5: Solve for x
    x = 6,019,742,569/51,109.50
  6. Step 6: Final answer
    x = 117,781.28

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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.