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Finding the Third Proportional to 286,587 and 607,311

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Solution

The third proportional to 286,587 and 607,311 is: 1,286,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,587 : 607,311 = 607,311 : x
  2. Step 2: Convert to fraction form
    286,587/607,311 = 607,311/x
  3. Step 3: Cross multiply
    286,587x = 607,311 × 607,311
  4. Step 4: Simplify right side
    286,587x = 368,826,650,721
  5. Step 5: Solve for x
    x = 368,826,650,721/286,587
  6. Step 6: Final answer
    x = 1,286,962.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.