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Finding the Third Proportional to 457,928 and 673,646

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Solution

The third proportional to 457,928 and 673,646 is: 990,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,928 : 673,646 = 673,646 : x
  2. Step 2: Convert to fraction form
    457,928/673,646 = 673,646/x
  3. Step 3: Cross multiply
    457,928x = 673,646 × 673,646
  4. Step 4: Simplify right side
    457,928x = 453,798,933,316
  5. Step 5: Solve for x
    x = 453,798,933,316/457,928
  6. Step 6: Final answer
    x = 990,983.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.