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Finding the Third Proportional to 444,402 and 688,203

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Solution

The third proportional to 444,402 and 688,203 is: 1,065,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,402 : 688,203 = 688,203 : x
  2. Step 2: Convert to fraction form
    444,402/688,203 = 688,203/x
  3. Step 3: Cross multiply
    444,402x = 688,203 × 688,203
  4. Step 4: Simplify right side
    444,402x = 473,623,369,209
  5. Step 5: Solve for x
    x = 473,623,369,209/444,402
  6. Step 6: Final answer
    x = 1,065,754.36

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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.