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Finding the Third Proportional to 512,364 and 818,514

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Solution

The third proportional to 512,364 and 818,514 is: 1,307,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,364 : 818,514 = 818,514 : x
  2. Step 2: Convert to fraction form
    512,364/818,514 = 818,514/x
  3. Step 3: Cross multiply
    512,364x = 818,514 × 818,514
  4. Step 4: Simplify right side
    512,364x = 669,965,168,196
  5. Step 5: Solve for x
    x = 669,965,168,196/512,364
  6. Step 6: Final answer
    x = 1,307,596.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.