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Finding the Third Proportional to 136,376.16 and 289,990.13

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Solution

The third proportional to 136,376.16 and 289,990.13 is: 616,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,376.16 : 289,990.13 = 289,990.13 : x
  2. Step 2: Convert to fraction form
    136,376.16/289,990.13 = 289,990.13/x
  3. Step 3: Cross multiply
    136,376.16x = 289,990.13 × 289,990.13
  4. Step 4: Simplify right side
    136,376.16x = 84,094,272,597.52
  5. Step 5: Solve for x
    x = 84,094,272,597.52/136,376.16
  6. Step 6: Final answer
    x = 616,634.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.