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Finding the Third Proportional to 678,312 and 1,489,788

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Solution

The third proportional to 678,312 and 1,489,788 is: 3,272,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,312 : 1,489,788 = 1,489,788 : x
  2. Step 2: Convert to fraction form
    678,312/1,489,788 = 1,489,788/x
  3. Step 3: Cross multiply
    678,312x = 1,489,788 × 1,489,788
  4. Step 4: Simplify right side
    678,312x = 2,219,468,284,944
  5. Step 5: Solve for x
    x = 2,219,468,284,944/678,312
  6. Step 6: Final answer
    x = 3,272,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.