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Finding the Third Proportional to 907.78 and 1,358.06

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Solution

The third proportional to 907.78 and 1,358.06 is: 2,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.78 : 1,358.06 = 1,358.06 : x
  2. Step 2: Convert to fraction form
    907.78/1,358.06 = 1,358.06/x
  3. Step 3: Cross multiply
    907.78x = 1,358.06 × 1,358.06
  4. Step 4: Simplify right side
    907.78x = 1,844,333.75
  5. Step 5: Solve for x
    x = 1,844,333.75/907.78
  6. Step 6: Final answer
    x = 2,031.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.