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Finding the Third Proportional to 535,115 and 807,210

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Solution

The third proportional to 535,115 and 807,210 is: 1,217,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,115 : 807,210 = 807,210 : x
  2. Step 2: Convert to fraction form
    535,115/807,210 = 807,210/x
  3. Step 3: Cross multiply
    535,115x = 807,210 × 807,210
  4. Step 4: Simplify right side
    535,115x = 651,587,984,100
  5. Step 5: Solve for x
    x = 651,587,984,100/535,115
  6. Step 6: Final answer
    x = 1,217,659.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.