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Finding the Third Proportional to 670 and 761.50

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Solution

The third proportional to 670 and 761.50 is: 865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 761.50 = 761.50 : x
  2. Step 2: Convert to fraction form
    670/761.50 = 761.50/x
  3. Step 3: Cross multiply
    670x = 761.50 × 761.50
  4. Step 4: Simplify right side
    670x = 579,882.25
  5. Step 5: Solve for x
    x = 579,882.25/670
  6. Step 6: Final answer
    x = 865.50

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.