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Finding the Third Proportional to 296,159 and 639,602

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Solution

The third proportional to 296,159 and 639,602 is: 1,381,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,159 : 639,602 = 639,602 : x
  2. Step 2: Convert to fraction form
    296,159/639,602 = 639,602/x
  3. Step 3: Cross multiply
    296,159x = 639,602 × 639,602
  4. Step 4: Simplify right side
    296,159x = 409,090,718,404
  5. Step 5: Solve for x
    x = 409,090,718,404/296,159
  6. Step 6: Final answer
    x = 1,381,321.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.