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Finding the Third Proportional to 444,342 and 688,224

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Solution

The third proportional to 444,342 and 688,224 is: 1,065,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,342 : 688,224 = 688,224 : x
  2. Step 2: Convert to fraction form
    444,342/688,224 = 688,224/x
  3. Step 3: Cross multiply
    444,342x = 688,224 × 688,224
  4. Step 4: Simplify right side
    444,342x = 473,652,274,176
  5. Step 5: Solve for x
    x = 473,652,274,176/444,342
  6. Step 6: Final answer
    x = 1,065,963.32

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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.