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Finding the Third Proportional to 78,644,174 and 117,966,279

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Solution

The third proportional to 78,644,174 and 117,966,279 is: 176,949,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644,174 : 117,966,279 = 117,966,279 : x
  2. Step 2: Convert to fraction form
    78,644,174/117,966,279 = 117,966,279/x
  3. Step 3: Cross multiply
    78,644,174x = 117,966,279 × 117,966,279
  4. Step 4: Simplify right side
    78,644,174x = 13,916,042,981,105,840
  5. Step 5: Solve for x
    x = 13,916,042,981,105,840/78,644,174
  6. Step 6: Final answer
    x = 176,949,445.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.