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Finding the Third Proportional to 133,523,748 and 281,394,209.25

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Solution

The third proportional to 133,523,748 and 281,394,209.25 is: 593,023,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,523,748 : 281,394,209.25 = 281,394,209.25 : x
  2. Step 2: Convert to fraction form
    133,523,748/281,394,209.25 = 281,394,209.25/x
  3. Step 3: Cross multiply
    133,523,748x = 281,394,209.25 × 281,394,209.25
  4. Step 4: Simplify right side
    133,523,748x = 79,182,700,999,432,784
  5. Step 5: Solve for x
    x = 79,182,700,999,432,784/133,523,748
  6. Step 6: Final answer
    x = 593,023,354.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.