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Finding the Third Proportional to 82,203,597 and 178,878,339

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Solution

The third proportional to 82,203,597 and 178,878,339 is: 389,246,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203,597 : 178,878,339 = 178,878,339 : x
  2. Step 2: Convert to fraction form
    82,203,597/178,878,339 = 178,878,339/x
  3. Step 3: Cross multiply
    82,203,597x = 178,878,339 × 178,878,339
  4. Step 4: Simplify right side
    82,203,597x = 31,997,460,163,398,920
  5. Step 5: Solve for x
    x = 31,997,460,163,398,920/82,203,597
  6. Step 6: Final answer
    x = 389,246,472.55

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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.