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Finding the Third Proportional to 516,242 and 782,133

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Solution

The third proportional to 516,242 and 782,133 is: 1,184,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,242 : 782,133 = 782,133 : x
  2. Step 2: Convert to fraction form
    516,242/782,133 = 782,133/x
  3. Step 3: Cross multiply
    516,242x = 782,133 × 782,133
  4. Step 4: Simplify right side
    516,242x = 611,732,029,689
  5. Step 5: Solve for x
    x = 611,732,029,689/516,242
  6. Step 6: Final answer
    x = 1,184,971.45

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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.