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Finding the Third Proportional to 513,788 and 818,246

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Solution

The third proportional to 513,788 and 818,246 is: 1,303,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,788 : 818,246 = 818,246 : x
  2. Step 2: Convert to fraction form
    513,788/818,246 = 818,246/x
  3. Step 3: Cross multiply
    513,788x = 818,246 × 818,246
  4. Step 4: Simplify right side
    513,788x = 669,526,516,516
  5. Step 5: Solve for x
    x = 669,526,516,516/513,788
  6. Step 6: Final answer
    x = 1,303,118.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.