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Finding the Third Proportional to 412,786 and 843,070

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Solution

The third proportional to 412,786 and 843,070 is: 1,721,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,786 : 843,070 = 843,070 : x
  2. Step 2: Convert to fraction form
    412,786/843,070 = 843,070/x
  3. Step 3: Cross multiply
    412,786x = 843,070 × 843,070
  4. Step 4: Simplify right side
    412,786x = 710,767,024,900
  5. Step 5: Solve for x
    x = 710,767,024,900/412,786
  6. Step 6: Final answer
    x = 1,721,877.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.