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Finding the Third Proportional to 239,307 and 370,499

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Solution

The third proportional to 239,307 and 370,499 is: 573,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,307 : 370,499 = 370,499 : x
  2. Step 2: Convert to fraction form
    239,307/370,499 = 370,499/x
  3. Step 3: Cross multiply
    239,307x = 370,499 × 370,499
  4. Step 4: Simplify right side
    239,307x = 137,269,509,001
  5. Step 5: Solve for x
    x = 137,269,509,001/239,307
  6. Step 6: Final answer
    x = 573,612.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.