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Finding the Third Proportional to 77,500.13 and 118,472.63

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Solution

The third proportional to 77,500.13 and 118,472.63 is: 181,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500.13 : 118,472.63 = 118,472.63 : x
  2. Step 2: Convert to fraction form
    77,500.13/118,472.63 = 118,472.63/x
  3. Step 3: Cross multiply
    77,500.13x = 118,472.63 × 118,472.63
  4. Step 4: Simplify right side
    77,500.13x = 14,035,762,874.39
  5. Step 5: Solve for x
    x = 14,035,762,874.39/77,500.13
  6. Step 6: Final answer
    x = 181,106.33

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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.