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Finding the Third Proportional to 296,518.50 and 639,693

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Solution

The third proportional to 296,518.50 and 639,693 is: 1,380,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,518.50 : 639,693 = 639,693 : x
  2. Step 2: Convert to fraction form
    296,518.50/639,693 = 639,693/x
  3. Step 3: Cross multiply
    296,518.50x = 639,693 × 639,693
  4. Step 4: Simplify right side
    296,518.50x = 409,207,134,249
  5. Step 5: Solve for x
    x = 409,207,134,249/296,518.50
  6. Step 6: Final answer
    x = 1,380,039.13

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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.