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Finding the Third Proportional to 903.42 and 971.76

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Solution

The third proportional to 903.42 and 971.76 is: 1,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.42 : 971.76 = 971.76 : x
  2. Step 2: Convert to fraction form
    903.42/971.76 = 971.76/x
  3. Step 3: Cross multiply
    903.42x = 971.76 × 971.76
  4. Step 4: Simplify right side
    903.42x = 944,322.74
  5. Step 5: Solve for x
    x = 944,322.74/903.42
  6. Step 6: Final answer
    x = 1,045.28

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.