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Finding the Third Proportional to 178,730 and 392,883

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Solution

The third proportional to 178,730 and 392,883 is: 863,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,730 : 392,883 = 392,883 : x
  2. Step 2: Convert to fraction form
    178,730/392,883 = 392,883/x
  3. Step 3: Cross multiply
    178,730x = 392,883 × 392,883
  4. Step 4: Simplify right side
    178,730x = 154,357,051,689
  5. Step 5: Solve for x
    x = 154,357,051,689/178,730
  6. Step 6: Final answer
    x = 863,632.58

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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.