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Finding the Third Proportional to 516,440 and 1,118,635

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Solution

The third proportional to 516,440 and 1,118,635 is: 2,423,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,440 : 1,118,635 = 1,118,635 : x
  2. Step 2: Convert to fraction form
    516,440/1,118,635 = 1,118,635/x
  3. Step 3: Cross multiply
    516,440x = 1,118,635 × 1,118,635
  4. Step 4: Simplify right side
    516,440x = 1,251,344,263,225
  5. Step 5: Solve for x
    x = 1,251,344,263,225/516,440
  6. Step 6: Final answer
    x = 2,423,019.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.