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Finding the Third Proportional to 286,856 and 428,340

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Solution

The third proportional to 286,856 and 428,340 is: 639,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,856 : 428,340 = 428,340 : x
  2. Step 2: Convert to fraction form
    286,856/428,340 = 428,340/x
  3. Step 3: Cross multiply
    286,856x = 428,340 × 428,340
  4. Step 4: Simplify right side
    286,856x = 183,475,155,600
  5. Step 5: Solve for x
    x = 183,475,155,600/286,856
  6. Step 6: Final answer
    x = 639,607.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.