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Finding the Third Proportional to 178,521.75 and 386,428.50

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Solution

The third proportional to 178,521.75 and 386,428.50 is: 836,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,521.75 : 386,428.50 = 386,428.50 : x
  2. Step 2: Convert to fraction form
    178,521.75/386,428.50 = 386,428.50/x
  3. Step 3: Cross multiply
    178,521.75x = 386,428.50 × 386,428.50
  4. Step 4: Simplify right side
    178,521.75x = 149,326,985,612.25
  5. Step 5: Solve for x
    x = 149,326,985,612.25/178,521.75
  6. Step 6: Final answer
    x = 836,463.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.