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Finding the Third Proportional to 296,156.25 and 639,594.98

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Solution

The third proportional to 296,156.25 and 639,594.98 is: 1,381,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,156.25 : 639,594.98 = 639,594.98 : x
  2. Step 2: Convert to fraction form
    296,156.25/639,594.98 = 639,594.98/x
  3. Step 3: Cross multiply
    296,156.25x = 639,594.98 × 639,594.98
  4. Step 4: Simplify right side
    296,156.25x = 409,081,744,037.66
  5. Step 5: Solve for x
    x = 409,081,744,037.66/296,156.25
  6. Step 6: Final answer
    x = 1,381,303.77

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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.