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Finding the Third Proportional to 444,808 and 688,488

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Solution

The third proportional to 444,808 and 688,488 is: 1,065,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,808 : 688,488 = 688,488 : x
  2. Step 2: Convert to fraction form
    444,808/688,488 = 688,488/x
  3. Step 3: Cross multiply
    444,808x = 688,488 × 688,488
  4. Step 4: Simplify right side
    444,808x = 474,015,726,144
  5. Step 5: Solve for x
    x = 474,015,726,144/444,808
  6. Step 6: Final answer
    x = 1,065,663.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.