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Finding the Third Proportional to 138,196 and 286,776

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Solution

The third proportional to 138,196 and 286,776 is: 595,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196 : 286,776 = 286,776 : x
  2. Step 2: Convert to fraction form
    138,196/286,776 = 286,776/x
  3. Step 3: Cross multiply
    138,196x = 286,776 × 286,776
  4. Step 4: Simplify right side
    138,196x = 82,240,474,176
  5. Step 5: Solve for x
    x = 82,240,474,176/138,196
  6. Step 6: Final answer
    x = 595,100.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.