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Finding the Third Proportional to 68,703.19 and 144,787.50

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Solution

The third proportional to 68,703.19 and 144,787.50 is: 305,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,703.19 : 144,787.50 = 144,787.50 : x
  2. Step 2: Convert to fraction form
    68,703.19/144,787.50 = 144,787.50/x
  3. Step 3: Cross multiply
    68,703.19x = 144,787.50 × 144,787.50
  4. Step 4: Simplify right side
    68,703.19x = 20,963,420,156.25
  5. Step 5: Solve for x
    x = 20,963,420,156.25/68,703.19
  6. Step 6: Final answer
    x = 305,130.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.