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Finding the Third Proportional to 77,420.18 and 169,602.61

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Solution

The third proportional to 77,420.18 and 169,602.61 is: 371,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,420.18 : 169,602.61 = 169,602.61 : x
  2. Step 2: Convert to fraction form
    77,420.18/169,602.61 = 169,602.61/x
  3. Step 3: Cross multiply
    77,420.18x = 169,602.61 × 169,602.61
  4. Step 4: Simplify right side
    77,420.18x = 28,765,045,106.81
  5. Step 5: Solve for x
    x = 28,765,045,106.81/77,420.18
  6. Step 6: Final answer
    x = 371,544.54

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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.