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Finding the Third Proportional to 520,867.69 and 782,688.38

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Solution

The third proportional to 520,867.69 and 782,688.38 is: 1,176,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,867.69 : 782,688.38 = 782,688.38 : x
  2. Step 2: Convert to fraction form
    520,867.69/782,688.38 = 782,688.38/x
  3. Step 3: Cross multiply
    520,867.69x = 782,688.38 × 782,688.38
  4. Step 4: Simplify right side
    520,867.69x = 612,601,092,360.14
  5. Step 5: Solve for x
    x = 612,601,092,360.14/520,867.69
  6. Step 6: Final answer
    x = 1,176,116.52

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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.