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Finding the Third Proportional to 82,073,574 and 128,079,225

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Solution

The third proportional to 82,073,574 and 128,079,225 is: 199,872,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,073,574 : 128,079,225 = 128,079,225 : x
  2. Step 2: Convert to fraction form
    82,073,574/128,079,225 = 128,079,225/x
  3. Step 3: Cross multiply
    82,073,574x = 128,079,225 × 128,079,225
  4. Step 4: Simplify right side
    82,073,574x = 16,404,287,876,600,624
  5. Step 5: Solve for x
    x = 16,404,287,876,600,624/82,073,574
  6. Step 6: Final answer
    x = 199,872,956.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.