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Finding the Third Proportional to 977.91 and 1,864.69

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Solution

The third proportional to 977.91 and 1,864.69 is: 3,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 1,864.69 = 1,864.69 : x
  2. Step 2: Convert to fraction form
    977.91/1,864.69 = 1,864.69/x
  3. Step 3: Cross multiply
    977.91x = 1,864.69 × 1,864.69
  4. Step 4: Simplify right side
    977.91x = 3,477,059.47
  5. Step 5: Solve for x
    x = 3,477,059.47/977.91
  6. Step 6: Final answer
    x = 3,555.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.