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Finding the Third Proportional to 286,496 and 607,142

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Solution

The third proportional to 286,496 and 607,142 is: 1,286,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,496 : 607,142 = 607,142 : x
  2. Step 2: Convert to fraction form
    286,496/607,142 = 607,142/x
  3. Step 3: Cross multiply
    286,496x = 607,142 × 607,142
  4. Step 4: Simplify right side
    286,496x = 368,621,408,164
  5. Step 5: Solve for x
    x = 368,621,408,164/286,496
  6. Step 6: Final answer
    x = 1,286,654.64

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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.