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Finding the Third Proportional to 2,978.02 and 6,341.20

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Solution

The third proportional to 2,978.02 and 6,341.20 is: 13,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.02 : 6,341.20 = 6,341.20 : x
  2. Step 2: Convert to fraction form
    2,978.02/6,341.20 = 6,341.20/x
  3. Step 3: Cross multiply
    2,978.02x = 6,341.20 × 6,341.20
  4. Step 4: Simplify right side
    2,978.02x = 40,210,857.07
  5. Step 5: Solve for x
    x = 40,210,857.07/2,978.02
  6. Step 6: Final answer
    x = 13,502.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.