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Finding the Third Proportional to 240,132,158 and 523,623,286

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Solution

The third proportional to 240,132,158 and 523,623,286 is: 1,141,793,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,132,158 : 523,623,286 = 523,623,286 : x
  2. Step 2: Convert to fraction form
    240,132,158/523,623,286 = 523,623,286/x
  3. Step 3: Cross multiply
    240,132,158x = 523,623,286 × 523,623,286
  4. Step 4: Simplify right side
    240,132,158x = 274,181,345,641,437,792
  5. Step 5: Solve for x
    x = 274,181,345,641,437,792/240,132,158
  6. Step 6: Final answer
    x = 1,141,793,535.38

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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.