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Finding the Third Proportional to 243,186 and 379,539

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Solution

The third proportional to 243,186 and 379,539 is: 592,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,186 : 379,539 = 379,539 : x
  2. Step 2: Convert to fraction form
    243,186/379,539 = 379,539/x
  3. Step 3: Cross multiply
    243,186x = 379,539 × 379,539
  4. Step 4: Simplify right side
    243,186x = 144,049,852,521
  5. Step 5: Solve for x
    x = 144,049,852,521/243,186
  6. Step 6: Final answer
    x = 592,344.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.