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Finding the Third Proportional to 65,458.13 and 143,385.19

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Solution

The third proportional to 65,458.13 and 143,385.19 is: 314,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.13 : 143,385.19 = 143,385.19 : x
  2. Step 2: Convert to fraction form
    65,458.13/143,385.19 = 143,385.19/x
  3. Step 3: Cross multiply
    65,458.13x = 143,385.19 × 143,385.19
  4. Step 4: Simplify right side
    65,458.13x = 20,559,311,994.41
  5. Step 5: Solve for x
    x = 20,559,311,994.41/65,458.13
  6. Step 6: Final answer
    x = 314,083.42

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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.