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Finding the Third Proportional to 178,427 and 262,709

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Solution

The third proportional to 178,427 and 262,709 is: 386,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,427 : 262,709 = 262,709 : x
  2. Step 2: Convert to fraction form
    178,427/262,709 = 262,709/x
  3. Step 3: Cross multiply
    178,427x = 262,709 × 262,709
  4. Step 4: Simplify right side
    178,427x = 69,016,018,681
  5. Step 5: Solve for x
    x = 69,016,018,681/178,427
  6. Step 6: Final answer
    x = 386,802.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.