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Finding the Third Proportional to 637.45 and 1,009.76

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Solution

The third proportional to 637.45 and 1,009.76 is: 1,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.45 : 1,009.76 = 1,009.76 : x
  2. Step 2: Convert to fraction form
    637.45/1,009.76 = 1,009.76/x
  3. Step 3: Cross multiply
    637.45x = 1,009.76 × 1,009.76
  4. Step 4: Simplify right side
    637.45x = 1,019,610.84
  5. Step 5: Solve for x
    x = 1,019,610.84/637.45
  6. Step 6: Final answer
    x = 1,599.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.