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Finding the Third Proportional to 438,043.03 and 640,434.22

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Solution

The third proportional to 438,043.03 and 640,434.22 is: 936,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,043.03 : 640,434.22 = 640,434.22 : x
  2. Step 2: Convert to fraction form
    438,043.03/640,434.22 = 640,434.22/x
  3. Step 3: Cross multiply
    438,043.03x = 640,434.22 × 640,434.22
  4. Step 4: Simplify right side
    438,043.03x = 410,155,986,044.26
  5. Step 5: Solve for x
    x = 410,155,986,044.26/438,043.03
  6. Step 6: Final answer
    x = 936,337.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.