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Finding the Third Proportional to 900,496 and 1,921,520

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Solution

The third proportional to 900,496 and 1,921,520 is: 4,100,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,496 : 1,921,520 = 1,921,520 : x
  2. Step 2: Convert to fraction form
    900,496/1,921,520 = 1,921,520/x
  3. Step 3: Cross multiply
    900,496x = 1,921,520 × 1,921,520
  4. Step 4: Simplify right side
    900,496x = 3,692,239,110,400
  5. Step 5: Solve for x
    x = 3,692,239,110,400/900,496
  6. Step 6: Final answer
    x = 4,100,228.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.