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Finding the Third Proportional to 292,686.75 and 638,415

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Solution

The third proportional to 292,686.75 and 638,415 is: 1,392,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,686.75 : 638,415 = 638,415 : x
  2. Step 2: Convert to fraction form
    292,686.75/638,415 = 638,415/x
  3. Step 3: Cross multiply
    292,686.75x = 638,415 × 638,415
  4. Step 4: Simplify right side
    292,686.75x = 407,573,712,225
  5. Step 5: Solve for x
    x = 407,573,712,225/292,686.75
  6. Step 6: Final answer
    x = 1,392,525.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.