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Finding the Third Proportional to 516,240 and 782,130

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Solution

The third proportional to 516,240 and 782,130 is: 1,184,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,240 : 782,130 = 782,130 : x
  2. Step 2: Convert to fraction form
    516,240/782,130 = 782,130/x
  3. Step 3: Cross multiply
    516,240x = 782,130 × 782,130
  4. Step 4: Simplify right side
    516,240x = 611,727,336,900
  5. Step 5: Solve for x
    x = 611,727,336,900/516,240
  6. Step 6: Final answer
    x = 1,184,966.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.