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Finding the Third Proportional to 153,949.13 and 245,152.69

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Solution

The third proportional to 153,949.13 and 245,152.69 is: 390,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,949.13 : 245,152.69 = 245,152.69 : x
  2. Step 2: Convert to fraction form
    153,949.13/245,152.69 = 245,152.69/x
  3. Step 3: Cross multiply
    153,949.13x = 245,152.69 × 245,152.69
  4. Step 4: Simplify right side
    153,949.13x = 60,099,840,188.47
  5. Step 5: Solve for x
    x = 60,099,840,188.47/153,949.13
  6. Step 6: Final answer
    x = 390,387.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.