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Finding the Third Proportional to 194,016,060 and 413,430,480

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Solution

The third proportional to 194,016,060 and 413,430,480 is: 880,982,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,016,060 : 413,430,480 = 413,430,480 : x
  2. Step 2: Convert to fraction form
    194,016,060/413,430,480 = 413,430,480/x
  3. Step 3: Cross multiply
    194,016,060x = 413,430,480 × 413,430,480
  4. Step 4: Simplify right side
    194,016,060x = 170,924,761,793,030,400
  5. Step 5: Solve for x
    x = 170,924,761,793,030,400/194,016,060
  6. Step 6: Final answer
    x = 880,982,542.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.