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Finding the Third Proportional to 516,580 and 774,840

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Solution

The third proportional to 516,580 and 774,840 is: 1,162,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,580 : 774,840 = 774,840 : x
  2. Step 2: Convert to fraction form
    516,580/774,840 = 774,840/x
  3. Step 3: Cross multiply
    516,580x = 774,840 × 774,840
  4. Step 4: Simplify right side
    516,580x = 600,377,025,600
  5. Step 5: Solve for x
    x = 600,377,025,600/516,580
  6. Step 6: Final answer
    x = 1,162,215.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.