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Finding the Third Proportional to 19,712 and 43,078

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Solution

The third proportional to 19,712 and 43,078 is: 94,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712 : 43,078 = 43,078 : x
  2. Step 2: Convert to fraction form
    19,712/43,078 = 43,078/x
  3. Step 3: Cross multiply
    19,712x = 43,078 × 43,078
  4. Step 4: Simplify right side
    19,712x = 1,855,714,084
  5. Step 5: Solve for x
    x = 1,855,714,084/19,712
  6. Step 6: Final answer
    x = 94,141.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.