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Finding the Third Proportional to 445,268 and 688,646

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Solution

The third proportional to 445,268 and 688,646 is: 1,065,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,268 : 688,646 = 688,646 : x
  2. Step 2: Convert to fraction form
    445,268/688,646 = 688,646/x
  3. Step 3: Cross multiply
    445,268x = 688,646 × 688,646
  4. Step 4: Simplify right side
    445,268x = 474,233,313,316
  5. Step 5: Solve for x
    x = 474,233,313,316/445,268
  6. Step 6: Final answer
    x = 1,065,051.41

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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.