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Finding the Third Proportional to 513,718.88 and 813,412.13

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Solution

The third proportional to 513,718.88 and 813,412.13 is: 1,287,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,718.88 : 813,412.13 = 813,412.13 : x
  2. Step 2: Convert to fraction form
    513,718.88/813,412.13 = 813,412.13/x
  3. Step 3: Cross multiply
    513,718.88x = 813,412.13 × 813,412.13
  4. Step 4: Simplify right side
    513,718.88x = 661,639,285,097.02
  5. Step 5: Solve for x
    x = 661,639,285,097.02/513,718.88
  6. Step 6: Final answer
    x = 1,287,940.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.