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Finding the Third Proportional to 153,406.41 and 219,601.13

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Solution

The third proportional to 153,406.41 and 219,601.13 is: 314,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,406.41 : 219,601.13 = 219,601.13 : x
  2. Step 2: Convert to fraction form
    153,406.41/219,601.13 = 219,601.13/x
  3. Step 3: Cross multiply
    153,406.41x = 219,601.13 × 219,601.13
  4. Step 4: Simplify right side
    153,406.41x = 48,224,654,101.27
  5. Step 5: Solve for x
    x = 48,224,654,101.27/153,406.41
  6. Step 6: Final answer
    x = 314,358.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.