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Finding the Third Proportional to 78,073.88 and 169,259.63

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Solution

The third proportional to 78,073.88 and 169,259.63 is: 366,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.88 : 169,259.63 = 169,259.63 : x
  2. Step 2: Convert to fraction form
    78,073.88/169,259.63 = 169,259.63/x
  3. Step 3: Cross multiply
    78,073.88x = 169,259.63 × 169,259.63
  4. Step 4: Simplify right side
    78,073.88x = 28,648,820,655.14
  5. Step 5: Solve for x
    x = 28,648,820,655.14/78,073.88
  6. Step 6: Final answer
    x = 366,945.03

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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.