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Finding the Third Proportional to 749.81 and 1,031.91

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Solution

The third proportional to 749.81 and 1,031.91 is: 1,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.81 : 1,031.91 = 1,031.91 : x
  2. Step 2: Convert to fraction form
    749.81/1,031.91 = 1,031.91/x
  3. Step 3: Cross multiply
    749.81x = 1,031.91 × 1,031.91
  4. Step 4: Simplify right side
    749.81x = 1,064,830.51
  5. Step 5: Solve for x
    x = 1,064,830.51/749.81
  6. Step 6: Final answer
    x = 1,420.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.