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Finding the Third Proportional to 286,020 and 428,478

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Solution

The third proportional to 286,020 and 428,478 is: 641,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,020 : 428,478 = 428,478 : x
  2. Step 2: Convert to fraction form
    286,020/428,478 = 428,478/x
  3. Step 3: Cross multiply
    286,020x = 428,478 × 428,478
  4. Step 4: Simplify right side
    286,020x = 183,593,396,484
  5. Step 5: Solve for x
    x = 183,593,396,484/286,020
  6. Step 6: Final answer
    x = 641,890.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.