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Finding the Third Proportional to 652 and 770

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Solution

The third proportional to 652 and 770 is: 909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652 : 770 = 770 : x
  2. Step 2: Convert to fraction form
    652/770 = 770/x
  3. Step 3: Cross multiply
    652x = 770 × 770
  4. Step 4: Simplify right side
    652x = 592,900
  5. Step 5: Solve for x
    x = 592,900/652
  6. Step 6: Final answer
    x = 909.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.