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Finding the Third Proportional to 820.97 and 1,303.13

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Solution

The third proportional to 820.97 and 1,303.13 is: 2,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.97 : 1,303.13 = 1,303.13 : x
  2. Step 2: Convert to fraction form
    820.97/1,303.13 = 1,303.13/x
  3. Step 3: Cross multiply
    820.97x = 1,303.13 × 1,303.13
  4. Step 4: Simplify right side
    820.97x = 1,698,134.77
  5. Step 5: Solve for x
    x = 1,698,134.77/820.97
  6. Step 6: Final answer
    x = 2,068.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.