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Finding the Third Proportional to 114,643.50 and 128,859

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Solution

The third proportional to 114,643.50 and 128,859 is: 144,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,643.50 : 128,859 = 128,859 : x
  2. Step 2: Convert to fraction form
    114,643.50/128,859 = 128,859/x
  3. Step 3: Cross multiply
    114,643.50x = 128,859 × 128,859
  4. Step 4: Simplify right side
    114,643.50x = 16,604,641,881
  5. Step 5: Solve for x
    x = 16,604,641,881/114,643.50
  6. Step 6: Final answer
    x = 144,837.19

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.