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Finding the Third Proportional to 64,725.75 and 91,347.75

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Solution

The third proportional to 64,725.75 and 91,347.75 is: 128,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,725.75 : 91,347.75 = 91,347.75 : x
  2. Step 2: Convert to fraction form
    64,725.75/91,347.75 = 91,347.75/x
  3. Step 3: Cross multiply
    64,725.75x = 91,347.75 × 91,347.75
  4. Step 4: Simplify right side
    64,725.75x = 8,344,411,430.06
  5. Step 5: Solve for x
    x = 8,344,411,430.06/64,725.75
  6. Step 6: Final answer
    x = 128,919.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.