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Finding the Third Proportional to 678,272 and 1,461,520

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Solution

The third proportional to 678,272 and 1,461,520 is: 3,149,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,272 : 1,461,520 = 1,461,520 : x
  2. Step 2: Convert to fraction form
    678,272/1,461,520 = 1,461,520/x
  3. Step 3: Cross multiply
    678,272x = 1,461,520 × 1,461,520
  4. Step 4: Simplify right side
    678,272x = 2,136,040,710,400
  5. Step 5: Solve for x
    x = 2,136,040,710,400/678,272
  6. Step 6: Final answer
    x = 3,149,239.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.