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Finding the Third Proportional to 638,640 and 755,281.13

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Solution

The third proportional to 638,640 and 755,281.13 is: 893,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,640 : 755,281.13 = 755,281.13 : x
  2. Step 2: Convert to fraction form
    638,640/755,281.13 = 755,281.13/x
  3. Step 3: Cross multiply
    638,640x = 755,281.13 × 755,281.13
  4. Step 4: Simplify right side
    638,640x = 570,449,577,781.27
  5. Step 5: Solve for x
    x = 570,449,577,781.27/638,640
  6. Step 6: Final answer
    x = 893,225.57

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.