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Finding the Third Proportional to 91,091,952 and 198,356,769

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Solution

The third proportional to 91,091,952 and 198,356,769 is: 431,930,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,091,952 : 198,356,769 = 198,356,769 : x
  2. Step 2: Convert to fraction form
    91,091,952/198,356,769 = 198,356,769/x
  3. Step 3: Cross multiply
    91,091,952x = 198,356,769 × 198,356,769
  4. Step 4: Simplify right side
    91,091,952x = 39,345,407,808,119,360
  5. Step 5: Solve for x
    x = 39,345,407,808,119,360/91,091,952
  6. Step 6: Final answer
    x = 431,930,669.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.