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Finding the Third Proportional to 178,726.50 and 392,875.50

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Solution

The third proportional to 178,726.50 and 392,875.50 is: 863,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,726.50 : 392,875.50 = 392,875.50 : x
  2. Step 2: Convert to fraction form
    178,726.50/392,875.50 = 392,875.50/x
  3. Step 3: Cross multiply
    178,726.50x = 392,875.50 × 392,875.50
  4. Step 4: Simplify right side
    178,726.50x = 154,351,158,500.25
  5. Step 5: Solve for x
    x = 154,351,158,500.25/178,726.50
  6. Step 6: Final answer
    x = 863,616.52

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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.