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Finding the Third Proportional to 444,362 and 688,254

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Solution

The third proportional to 444,362 and 688,254 is: 1,066,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,362 : 688,254 = 688,254 : x
  2. Step 2: Convert to fraction form
    444,362/688,254 = 688,254/x
  3. Step 3: Cross multiply
    444,362x = 688,254 × 688,254
  4. Step 4: Simplify right side
    444,362x = 473,693,568,516
  5. Step 5: Solve for x
    x = 473,693,568,516/444,362
  6. Step 6: Final answer
    x = 1,066,008.27

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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.