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Finding the Third Proportional to 908.06 and 1,397.63

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Solution

The third proportional to 908.06 and 1,397.63 is: 2,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.06 : 1,397.63 = 1,397.63 : x
  2. Step 2: Convert to fraction form
    908.06/1,397.63 = 1,397.63/x
  3. Step 3: Cross multiply
    908.06x = 1,397.63 × 1,397.63
  4. Step 4: Simplify right side
    908.06x = 1,953,355.64
  5. Step 5: Solve for x
    x = 1,953,355.64/908.06
  6. Step 6: Final answer
    x = 2,151.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.