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Finding the Third Proportional to 296,159.63 and 639,601.88

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Solution

The third proportional to 296,159.63 and 639,601.88 is: 1,381,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,159.63 : 639,601.88 = 639,601.88 : x
  2. Step 2: Convert to fraction form
    296,159.63/639,601.88 = 639,601.88/x
  3. Step 3: Cross multiply
    296,159.63x = 639,601.88 × 639,601.88
  4. Step 4: Simplify right side
    296,159.63x = 409,090,558,503.52
  5. Step 5: Solve for x
    x = 409,090,558,503.52/296,159.63
  6. Step 6: Final answer
    x = 1,381,317.79

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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.