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Finding the Third Proportional to 310,366.69 and 417,079.13

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Solution

The third proportional to 310,366.69 and 417,079.13 is: 560,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,366.69 : 417,079.13 = 417,079.13 : x
  2. Step 2: Convert to fraction form
    310,366.69/417,079.13 = 417,079.13/x
  3. Step 3: Cross multiply
    310,366.69x = 417,079.13 × 417,079.13
  4. Step 4: Simplify right side
    310,366.69x = 173,954,996,510.77
  5. Step 5: Solve for x
    x = 173,954,996,510.77/310,366.69
  6. Step 6: Final answer
    x = 560,482.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.