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Finding the Third Proportional to 30,159.84 and 45,182.81

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Solution

The third proportional to 30,159.84 and 45,182.81 is: 67,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159.84 : 45,182.81 = 45,182.81 : x
  2. Step 2: Convert to fraction form
    30,159.84/45,182.81 = 45,182.81/x
  3. Step 3: Cross multiply
    30,159.84x = 45,182.81 × 45,182.81
  4. Step 4: Simplify right side
    30,159.84x = 2,041,486,545.41
  5. Step 5: Solve for x
    x = 2,041,486,545.41/30,159.84
  6. Step 6: Final answer
    x = 67,688.90

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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.