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Finding the Third Proportional to 518,345.50 and 811,359

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Solution

The third proportional to 518,345.50 and 811,359 is: 1,270,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,345.50 : 811,359 = 811,359 : x
  2. Step 2: Convert to fraction form
    518,345.50/811,359 = 811,359/x
  3. Step 3: Cross multiply
    518,345.50x = 811,359 × 811,359
  4. Step 4: Simplify right side
    518,345.50x = 658,303,426,881
  5. Step 5: Solve for x
    x = 658,303,426,881/518,345.50
  6. Step 6: Final answer
    x = 1,270,008.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.