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Finding the Third Proportional to 243,979 and 369,371

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Solution

The third proportional to 243,979 and 369,371 is: 559,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,979 : 369,371 = 369,371 : x
  2. Step 2: Convert to fraction form
    243,979/369,371 = 369,371/x
  3. Step 3: Cross multiply
    243,979x = 369,371 × 369,371
  4. Step 4: Simplify right side
    243,979x = 136,434,935,641
  5. Step 5: Solve for x
    x = 136,434,935,641/243,979
  6. Step 6: Final answer
    x = 559,207.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.