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Finding the Third Proportional to 273,010.50 and 398,398.50

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Solution

The third proportional to 273,010.50 and 398,398.50 is: 581,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,010.50 : 398,398.50 = 398,398.50 : x
  2. Step 2: Convert to fraction form
    273,010.50/398,398.50 = 398,398.50/x
  3. Step 3: Cross multiply
    273,010.50x = 398,398.50 × 398,398.50
  4. Step 4: Simplify right side
    273,010.50x = 158,721,364,802.25
  5. Step 5: Solve for x
    x = 158,721,364,802.25/273,010.50
  6. Step 6: Final answer
    x = 581,374.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.