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Finding the Third Proportional to 72,677,882.81 and 111,711,117.09

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Solution

The third proportional to 72,677,882.81 and 111,711,117.09 is: 171,707,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,677,882.81 : 111,711,117.09 = 111,711,117.09 : x
  2. Step 2: Convert to fraction form
    72,677,882.81/111,711,117.09 = 111,711,117.09/x
  3. Step 3: Cross multiply
    72,677,882.81x = 111,711,117.09 × 111,711,117.09
  4. Step 4: Simplify right side
    72,677,882.81x = 12,479,373,682,333,524
  5. Step 5: Solve for x
    x = 12,479,373,682,333,524/72,677,882.81
  6. Step 6: Final answer
    x = 171,707,996.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.