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Finding the Third Proportional to 535,716 and 810,486

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Solution

The third proportional to 535,716 and 810,486 is: 1,226,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,716 : 810,486 = 810,486 : x
  2. Step 2: Convert to fraction form
    535,716/810,486 = 810,486/x
  3. Step 3: Cross multiply
    535,716x = 810,486 × 810,486
  4. Step 4: Simplify right side
    535,716x = 656,887,556,196
  5. Step 5: Solve for x
    x = 656,887,556,196/535,716
  6. Step 6: Final answer
    x = 1,226,186.18

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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.