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Finding the Third Proportional to 138,196 and 292,998

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Solution

The third proportional to 138,196 and 292,998 is: 621,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196 : 292,998 = 292,998 : x
  2. Step 2: Convert to fraction form
    138,196/292,998 = 292,998/x
  3. Step 3: Cross multiply
    138,196x = 292,998 × 292,998
  4. Step 4: Simplify right side
    138,196x = 85,847,828,004
  5. Step 5: Solve for x
    x = 85,847,828,004/138,196
  6. Step 6: Final answer
    x = 621,203.42

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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.