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Finding the Third Proportional to 178,870 and 372,428

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Solution

The third proportional to 178,870 and 372,428 is: 775,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,870 : 372,428 = 372,428 : x
  2. Step 2: Convert to fraction form
    178,870/372,428 = 372,428/x
  3. Step 3: Cross multiply
    178,870x = 372,428 × 372,428
  4. Step 4: Simplify right side
    178,870x = 138,702,615,184
  5. Step 5: Solve for x
    x = 138,702,615,184/178,870
  6. Step 6: Final answer
    x = 775,438.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.