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Finding the Third Proportional to 177,488 and 390,680

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Solution

The third proportional to 177,488 and 390,680 is: 859,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,488 : 390,680 = 390,680 : x
  2. Step 2: Convert to fraction form
    177,488/390,680 = 390,680/x
  3. Step 3: Cross multiply
    177,488x = 390,680 × 390,680
  4. Step 4: Simplify right side
    177,488x = 152,630,862,400
  5. Step 5: Solve for x
    x = 152,630,862,400/177,488
  6. Step 6: Final answer
    x = 859,950.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.