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Finding the Third Proportional to 100,489,304.25 and 217,672,830

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Solution

The third proportional to 100,489,304.25 and 217,672,830 is: 471,507,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489,304.25 : 217,672,830 = 217,672,830 : x
  2. Step 2: Convert to fraction form
    100,489,304.25/217,672,830 = 217,672,830/x
  3. Step 3: Cross multiply
    100,489,304.25x = 217,672,830 × 217,672,830
  4. Step 4: Simplify right side
    100,489,304.25x = 47,381,460,920,208,896
  5. Step 5: Solve for x
    x = 47,381,460,920,208,896/100,489,304.25
  6. Step 6: Final answer
    x = 471,507,502.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.