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Finding the Third Proportional to 480,338 and 686,486

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Solution

The third proportional to 480,338 and 686,486 is: 981,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,338 : 686,486 = 686,486 : x
  2. Step 2: Convert to fraction form
    480,338/686,486 = 686,486/x
  3. Step 3: Cross multiply
    480,338x = 686,486 × 686,486
  4. Step 4: Simplify right side
    480,338x = 471,263,028,196
  5. Step 5: Solve for x
    x = 471,263,028,196/480,338
  6. Step 6: Final answer
    x = 981,107.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.