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Finding the Third Proportional to 459,478 and 671,395

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Solution

The third proportional to 459,478 and 671,395 is: 981,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,478 : 671,395 = 671,395 : x
  2. Step 2: Convert to fraction form
    459,478/671,395 = 671,395/x
  3. Step 3: Cross multiply
    459,478x = 671,395 × 671,395
  4. Step 4: Simplify right side
    459,478x = 450,771,246,025
  5. Step 5: Solve for x
    x = 450,771,246,025/459,478
  6. Step 6: Final answer
    x = 981,050.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.