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Finding the Third Proportional to 528,721.50 and 753,716.25

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Solution

The third proportional to 528,721.50 and 753,716.25 is: 1,074,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,721.50 : 753,716.25 = 753,716.25 : x
  2. Step 2: Convert to fraction form
    528,721.50/753,716.25 = 753,716.25/x
  3. Step 3: Cross multiply
    528,721.50x = 753,716.25 × 753,716.25
  4. Step 4: Simplify right side
    528,721.50x = 568,088,185,514.06
  5. Step 5: Solve for x
    x = 568,088,185,514.06/528,721.50
  6. Step 6: Final answer
    x = 1,074,456.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.