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Finding the Third Proportional to 678,816 and 1,425,888

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Solution

The third proportional to 678,816 and 1,425,888 is: 2,995,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,816 : 1,425,888 = 1,425,888 : x
  2. Step 2: Convert to fraction form
    678,816/1,425,888 = 1,425,888/x
  3. Step 3: Cross multiply
    678,816x = 1,425,888 × 1,425,888
  4. Step 4: Simplify right side
    678,816x = 2,033,156,588,544
  5. Step 5: Solve for x
    x = 2,033,156,588,544/678,816
  6. Step 6: Final answer
    x = 2,995,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.