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Finding the Third Proportional to 678,803.75 and 1,006,459.75

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Solution

The third proportional to 678,803.75 and 1,006,459.75 is: 1,492,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,803.75 : 1,006,459.75 = 1,006,459.75 : x
  2. Step 2: Convert to fraction form
    678,803.75/1,006,459.75 = 1,006,459.75/x
  3. Step 3: Cross multiply
    678,803.75x = 1,006,459.75 × 1,006,459.75
  4. Step 4: Simplify right side
    678,803.75x = 1,012,961,228,370.06
  5. Step 5: Solve for x
    x = 1,012,961,228,370.06/678,803.75
  6. Step 6: Final answer
    x = 1,492,274.06

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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.