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Finding the Third Proportional to 672.36 and 907.77

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Solution

The third proportional to 672.36 and 907.77 is: 1,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.36 : 907.77 = 907.77 : x
  2. Step 2: Convert to fraction form
    672.36/907.77 = 907.77/x
  3. Step 3: Cross multiply
    672.36x = 907.77 × 907.77
  4. Step 4: Simplify right side
    672.36x = 824,045.52
  5. Step 5: Solve for x
    x = 824,045.52/672.36
  6. Step 6: Final answer
    x = 1,225.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.