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Finding the Third Proportional to 140,640 and 286,502

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Solution

The third proportional to 140,640 and 286,502 is: 583,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640 : 286,502 = 286,502 : x
  2. Step 2: Convert to fraction form
    140,640/286,502 = 286,502/x
  3. Step 3: Cross multiply
    140,640x = 286,502 × 286,502
  4. Step 4: Simplify right side
    140,640x = 82,083,396,004
  5. Step 5: Solve for x
    x = 82,083,396,004/140,640
  6. Step 6: Final answer
    x = 583,641.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.