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Finding the Third Proportional to 42,135.19 and 45,780.19

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Solution

The third proportional to 42,135.19 and 45,780.19 is: 49,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135.19 : 45,780.19 = 45,780.19 : x
  2. Step 2: Convert to fraction form
    42,135.19/45,780.19 = 45,780.19/x
  3. Step 3: Cross multiply
    42,135.19x = 45,780.19 × 45,780.19
  4. Step 4: Simplify right side
    42,135.19x = 2,095,825,567.54
  5. Step 5: Solve for x
    x = 2,095,825,567.54/42,135.19
  6. Step 6: Final answer
    x = 49,740.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.