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Finding the Third Proportional to 770.77 and 1,165.64

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Solution

The third proportional to 770.77 and 1,165.64 is: 1,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.77 : 1,165.64 = 1,165.64 : x
  2. Step 2: Convert to fraction form
    770.77/1,165.64 = 1,165.64/x
  3. Step 3: Cross multiply
    770.77x = 1,165.64 × 1,165.64
  4. Step 4: Simplify right side
    770.77x = 1,358,718.07
  5. Step 5: Solve for x
    x = 1,358,718.07/770.77
  6. Step 6: Final answer
    x = 1,762.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.