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Finding the Third Proportional to 444,354 and 688,242

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Solution

The third proportional to 444,354 and 688,242 is: 1,065,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,354 : 688,242 = 688,242 : x
  2. Step 2: Convert to fraction form
    444,354/688,242 = 688,242/x
  3. Step 3: Cross multiply
    444,354x = 688,242 × 688,242
  4. Step 4: Simplify right side
    444,354x = 473,677,050,564
  5. Step 5: Solve for x
    x = 473,677,050,564/444,354
  6. Step 6: Final answer
    x = 1,065,990.29

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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.