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Finding the Third Proportional to 901,800 and 1,398,262.50

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Solution

The third proportional to 901,800 and 1,398,262.50 is: 2,168,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,800 : 1,398,262.50 = 1,398,262.50 : x
  2. Step 2: Convert to fraction form
    901,800/1,398,262.50 = 1,398,262.50/x
  3. Step 3: Cross multiply
    901,800x = 1,398,262.50 × 1,398,262.50
  4. Step 4: Simplify right side
    901,800x = 1,955,138,018,906.25
  5. Step 5: Solve for x
    x = 1,955,138,018,906.25/901,800
  6. Step 6: Final answer
    x = 2,168,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.