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Finding the Third Proportional to 618.05 and 971.30

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Solution

The third proportional to 618.05 and 971.30 is: 1,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.05 : 971.30 = 971.30 : x
  2. Step 2: Convert to fraction form
    618.05/971.30 = 971.30/x
  3. Step 3: Cross multiply
    618.05x = 971.30 × 971.30
  4. Step 4: Simplify right side
    618.05x = 943,417.62
  5. Step 5: Solve for x
    x = 943,417.62/618.05
  6. Step 6: Final answer
    x = 1,526.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.