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Finding the Third Proportional to 83,732,076 and 177,406,497

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Solution

The third proportional to 83,732,076 and 177,406,497 is: 375,878,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732,076 : 177,406,497 = 177,406,497 : x
  2. Step 2: Convert to fraction form
    83,732,076/177,406,497 = 177,406,497/x
  3. Step 3: Cross multiply
    83,732,076x = 177,406,497 × 177,406,497
  4. Step 4: Simplify right side
    83,732,076x = 31,473,065,177,811,008
  5. Step 5: Solve for x
    x = 31,473,065,177,811,008/83,732,076
  6. Step 6: Final answer
    x = 375,878,237.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.