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Finding the Third Proportional to 198,941,256 and 428,115,612

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Solution

The third proportional to 198,941,256 and 428,115,612 is: 921,291,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941,256 : 428,115,612 = 428,115,612 : x
  2. Step 2: Convert to fraction form
    198,941,256/428,115,612 = 428,115,612/x
  3. Step 3: Cross multiply
    198,941,256x = 428,115,612 × 428,115,612
  4. Step 4: Simplify right side
    198,941,256x = 183,282,977,238,134,528
  5. Step 5: Solve for x
    x = 183,282,977,238,134,528/198,941,256
  6. Step 6: Final answer
    x = 921,291,947.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.