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Finding the Third Proportional to 75,787.50 and 118,897.50

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Solution

The third proportional to 75,787.50 and 118,897.50 is: 186,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,787.50 : 118,897.50 = 118,897.50 : x
  2. Step 2: Convert to fraction form
    75,787.50/118,897.50 = 118,897.50/x
  3. Step 3: Cross multiply
    75,787.50x = 118,897.50 × 118,897.50
  4. Step 4: Simplify right side
    75,787.50x = 14,136,615,506.25
  5. Step 5: Solve for x
    x = 14,136,615,506.25/75,787.50
  6. Step 6: Final answer
    x = 186,529.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.