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Finding the Third Proportional to 1,988.30 and 4,341.09

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Solution

The third proportional to 1,988.30 and 4,341.09 is: 9,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.30 : 4,341.09 = 4,341.09 : x
  2. Step 2: Convert to fraction form
    1,988.30/4,341.09 = 4,341.09/x
  3. Step 3: Cross multiply
    1,988.30x = 4,341.09 × 4,341.09
  4. Step 4: Simplify right side
    1,988.30x = 18,845,094.95
  5. Step 5: Solve for x
    x = 18,845,094.95/1,988.30
  6. Step 6: Final answer
    x = 9,478.01

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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.