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Finding the Third Proportional to 286,502 and 607,154

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Solution

The third proportional to 286,502 and 607,154 is: 1,286,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,502 : 607,154 = 607,154 : x
  2. Step 2: Convert to fraction form
    286,502/607,154 = 607,154/x
  3. Step 3: Cross multiply
    286,502x = 607,154 × 607,154
  4. Step 4: Simplify right side
    286,502x = 368,635,979,716
  5. Step 5: Solve for x
    x = 368,635,979,716/286,502
  6. Step 6: Final answer
    x = 1,286,678.56

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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.