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Finding the Third Proportional to 645.71 and 973.19

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Solution

The third proportional to 645.71 and 973.19 is: 1,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 973.19 = 973.19 : x
  2. Step 2: Convert to fraction form
    645.71/973.19 = 973.19/x
  3. Step 3: Cross multiply
    645.71x = 973.19 × 973.19
  4. Step 4: Simplify right side
    645.71x = 947,092.01
  5. Step 5: Solve for x
    x = 947,092.01/645.71
  6. Step 6: Final answer
    x = 1,466.75

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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.