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Finding the Third Proportional to 84,681 and 129,949.50

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Solution

The third proportional to 84,681 and 129,949.50 is: 199,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,681 : 129,949.50 = 129,949.50 : x
  2. Step 2: Convert to fraction form
    84,681/129,949.50 = 129,949.50/x
  3. Step 3: Cross multiply
    84,681x = 129,949.50 × 129,949.50
  4. Step 4: Simplify right side
    84,681x = 16,886,872,550.25
  5. Step 5: Solve for x
    x = 16,886,872,550.25/84,681
  6. Step 6: Final answer
    x = 199,417.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.