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Finding the Third Proportional to 145,411.56 and 218,271.11

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Solution

The third proportional to 145,411.56 and 218,271.11 is: 327,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411.56 : 218,271.11 = 218,271.11 : x
  2. Step 2: Convert to fraction form
    145,411.56/218,271.11 = 218,271.11/x
  3. Step 3: Cross multiply
    145,411.56x = 218,271.11 × 218,271.11
  4. Step 4: Simplify right side
    145,411.56x = 47,642,278,040.41
  5. Step 5: Solve for x
    x = 47,642,278,040.41/145,411.56
  6. Step 6: Final answer
    x = 327,637.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.