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Finding the Third Proportional to 296,340.19 and 640,063.69

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Solution

The third proportional to 296,340.19 and 640,063.69 is: 1,382,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,340.19 : 640,063.69 = 640,063.69 : x
  2. Step 2: Convert to fraction form
    296,340.19/640,063.69 = 640,063.69/x
  3. Step 3: Cross multiply
    296,340.19x = 640,063.69 × 640,063.69
  4. Step 4: Simplify right side
    296,340.19x = 409,681,524,056.10
  5. Step 5: Solve for x
    x = 409,681,524,056.10/296,340.19
  6. Step 6: Final answer
    x = 1,382,470.35

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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.