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Finding the Third Proportional to 69,212.81 and 148,726.13

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Solution

The third proportional to 69,212.81 and 148,726.13 is: 319,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,212.81 : 148,726.13 = 148,726.13 : x
  2. Step 2: Convert to fraction form
    69,212.81/148,726.13 = 148,726.13/x
  3. Step 3: Cross multiply
    69,212.81x = 148,726.13 × 148,726.13
  4. Step 4: Simplify right side
    69,212.81x = 22,119,460,257.52
  5. Step 5: Solve for x
    x = 22,119,460,257.52/69,212.81
  6. Step 6: Final answer
    x = 319,586.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.