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Finding the Third Proportional to 239,306 and 370,498

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Solution

The third proportional to 239,306 and 370,498 is: 573,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,306 : 370,498 = 370,498 : x
  2. Step 2: Convert to fraction form
    239,306/370,498 = 370,498/x
  3. Step 3: Cross multiply
    239,306x = 370,498 × 370,498
  4. Step 4: Simplify right side
    239,306x = 137,268,768,004
  5. Step 5: Solve for x
    x = 137,268,768,004/239,306
  6. Step 6: Final answer
    x = 573,611.89

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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.