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Finding the Third Proportional to 330,510.38 and 715,969.13

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Solution

The third proportional to 330,510.38 and 715,969.13 is: 1,550,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,510.38 : 715,969.13 = 715,969.13 : x
  2. Step 2: Convert to fraction form
    330,510.38/715,969.13 = 715,969.13/x
  3. Step 3: Cross multiply
    330,510.38x = 715,969.13 × 715,969.13
  4. Step 4: Simplify right side
    330,510.38x = 512,611,787,953.27
  5. Step 5: Solve for x
    x = 512,611,787,953.27/330,510.38
  6. Step 6: Final answer
    x = 1,550,970.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.