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Finding the Third Proportional to 646,822 and 1,376,475

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Solution

The third proportional to 646,822 and 1,376,475 is: 2,929,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,822 : 1,376,475 = 1,376,475 : x
  2. Step 2: Convert to fraction form
    646,822/1,376,475 = 1,376,475/x
  3. Step 3: Cross multiply
    646,822x = 1,376,475 × 1,376,475
  4. Step 4: Simplify right side
    646,822x = 1,894,683,425,625
  5. Step 5: Solve for x
    x = 1,894,683,425,625/646,822
  6. Step 6: Final answer
    x = 2,929,219.21

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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.