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Finding the Third Proportional to 893,822 and 1,250,281

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Solution

The third proportional to 893,822 and 1,250,281 is: 1,748,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,822 : 1,250,281 = 1,250,281 : x
  2. Step 2: Convert to fraction form
    893,822/1,250,281 = 1,250,281/x
  3. Step 3: Cross multiply
    893,822x = 1,250,281 × 1,250,281
  4. Step 4: Simplify right side
    893,822x = 1,563,202,578,961
  5. Step 5: Solve for x
    x = 1,563,202,578,961/893,822
  6. Step 6: Final answer
    x = 1,748,896.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.