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Finding the Third Proportional to 678,811 and 1,006,475

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Solution

The third proportional to 678,811 and 1,006,475 is: 1,492,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,811 : 1,006,475 = 1,006,475 : x
  2. Step 2: Convert to fraction form
    678,811/1,006,475 = 1,006,475/x
  3. Step 3: Cross multiply
    678,811x = 1,006,475 × 1,006,475
  4. Step 4: Simplify right side
    678,811x = 1,012,991,925,625
  5. Step 5: Solve for x
    x = 1,012,991,925,625/678,811
  6. Step 6: Final answer
    x = 1,492,303.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.