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Finding the Third Proportional to 30,412.97 and 65,029.08

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Solution

The third proportional to 30,412.97 and 65,029.08 is: 139,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.97 : 65,029.08 = 65,029.08 : x
  2. Step 2: Convert to fraction form
    30,412.97/65,029.08 = 65,029.08/x
  3. Step 3: Cross multiply
    30,412.97x = 65,029.08 × 65,029.08
  4. Step 4: Simplify right side
    30,412.97x = 4,228,781,001.79
  5. Step 5: Solve for x
    x = 4,228,781,001.79/30,412.97
  6. Step 6: Final answer
    x = 139,045.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.