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Finding the Third Proportional to 240,132,161 and 523,623,292

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Solution

The third proportional to 240,132,161 and 523,623,292 is: 1,141,793,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,132,161 : 523,623,292 = 523,623,292 : x
  2. Step 2: Convert to fraction form
    240,132,161/523,623,292 = 523,623,292/x
  3. Step 3: Cross multiply
    240,132,161x = 523,623,292 × 523,623,292
  4. Step 4: Simplify right side
    240,132,161x = 274,181,351,924,917,248
  5. Step 5: Solve for x
    x = 274,181,351,924,917,248/240,132,161
  6. Step 6: Final answer
    x = 1,141,793,547.28

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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.