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Finding the Third Proportional to 319,149 and 472,561.50

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Solution

The third proportional to 319,149 and 472,561.50 is: 699,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,149 : 472,561.50 = 472,561.50 : x
  2. Step 2: Convert to fraction form
    319,149/472,561.50 = 472,561.50/x
  3. Step 3: Cross multiply
    319,149x = 472,561.50 × 472,561.50
  4. Step 4: Simplify right side
    319,149x = 223,314,371,282.25
  5. Step 5: Solve for x
    x = 223,314,371,282.25/319,149
  6. Step 6: Final answer
    x = 699,718.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.