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Finding the Third Proportional to 45,925.50 and 70,935

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Solution

The third proportional to 45,925.50 and 70,935 is: 109,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,925.50 : 70,935 = 70,935 : x
  2. Step 2: Convert to fraction form
    45,925.50/70,935 = 70,935/x
  3. Step 3: Cross multiply
    45,925.50x = 70,935 × 70,935
  4. Step 4: Simplify right side
    45,925.50x = 5,031,774,225
  5. Step 5: Solve for x
    x = 5,031,774,225/45,925.50
  6. Step 6: Final answer
    x = 109,563.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.