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Finding the Third Proportional to 6,302.04 and 13,637.78

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Solution

The third proportional to 6,302.04 and 13,637.78 is: 29,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.04 : 13,637.78 = 13,637.78 : x
  2. Step 2: Convert to fraction form
    6,302.04/13,637.78 = 13,637.78/x
  3. Step 3: Cross multiply
    6,302.04x = 13,637.78 × 13,637.78
  4. Step 4: Simplify right side
    6,302.04x = 185,989,090.74
  5. Step 5: Solve for x
    x = 185,989,090.74/6,302.04
  6. Step 6: Final answer
    x = 29,512.52

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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.