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Finding the Third Proportional to 240,132,156 and 523,623,282

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Solution

The third proportional to 240,132,156 and 523,623,282 is: 1,141,793,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,132,156 : 523,623,282 = 523,623,282 : x
  2. Step 2: Convert to fraction form
    240,132,156/523,623,282 = 523,623,282/x
  3. Step 3: Cross multiply
    240,132,156x = 523,623,282 × 523,623,282
  4. Step 4: Simplify right side
    240,132,156x = 274,181,341,452,451,520
  5. Step 5: Solve for x
    x = 274,181,341,452,451,520/240,132,156
  6. Step 6: Final answer
    x = 1,141,793,527.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.