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Finding the Third Proportional to 678,458 and 1,426,657

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Solution

The third proportional to 678,458 and 1,426,657 is: 2,999,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,458 : 1,426,657 = 1,426,657 : x
  2. Step 2: Convert to fraction form
    678,458/1,426,657 = 1,426,657/x
  3. Step 3: Cross multiply
    678,458x = 1,426,657 × 1,426,657
  4. Step 4: Simplify right side
    678,458x = 2,035,350,195,649
  5. Step 5: Solve for x
    x = 2,035,350,195,649/678,458
  6. Step 6: Final answer
    x = 2,999,964.91

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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.