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Finding the Third Proportional to 520,759.13 and 811,587.94

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Solution

The third proportional to 520,759.13 and 811,587.94 is: 1,264,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,759.13 : 811,587.94 = 811,587.94 : x
  2. Step 2: Convert to fraction form
    520,759.13/811,587.94 = 811,587.94/x
  3. Step 3: Cross multiply
    520,759.13x = 811,587.94 × 811,587.94
  4. Step 4: Simplify right side
    520,759.13x = 658,674,980,295.50
  5. Step 5: Solve for x
    x = 658,674,980,295.50/520,759.13
  6. Step 6: Final answer
    x = 1,264,836.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.