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Finding the Third Proportional to 2,985.88 and 6,490.38

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Solution

The third proportional to 2,985.88 and 6,490.38 is: 14,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.88 : 6,490.38 = 6,490.38 : x
  2. Step 2: Convert to fraction form
    2,985.88/6,490.38 = 6,490.38/x
  3. Step 3: Cross multiply
    2,985.88x = 6,490.38 × 6,490.38
  4. Step 4: Simplify right side
    2,985.88x = 42,124,967.64
  5. Step 5: Solve for x
    x = 42,124,967.64/2,985.88
  6. Step 6: Final answer
    x = 14,108.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.