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Finding the Third Proportional to 286,587 and 615,438

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Solution

The third proportional to 286,587 and 615,438 is: 1,321,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,587 : 615,438 = 615,438 : x
  2. Step 2: Convert to fraction form
    286,587/615,438 = 615,438/x
  3. Step 3: Cross multiply
    286,587x = 615,438 × 615,438
  4. Step 4: Simplify right side
    286,587x = 378,763,931,844
  5. Step 5: Solve for x
    x = 378,763,931,844/286,587
  6. Step 6: Final answer
    x = 1,321,636.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.