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Finding the Third Proportional to 418,920,120 and 881,254,377

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Solution

The third proportional to 418,920,120 and 881,254,377 is: 1,853,836,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,920,120 : 881,254,377 = 881,254,377 : x
  2. Step 2: Convert to fraction form
    418,920,120/881,254,377 = 881,254,377/x
  3. Step 3: Cross multiply
    418,920,120x = 881,254,377 × 881,254,377
  4. Step 4: Simplify right side
    418,920,120x = 776,609,276,981,658,112
  5. Step 5: Solve for x
    x = 776,609,276,981,658,112/418,920,120
  6. Step 6: Final answer
    x = 1,853,836,184.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.