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Finding the Third Proportional to 375,633 and 820,278

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Solution

The third proportional to 375,633 and 820,278 is: 1,791,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,633 : 820,278 = 820,278 : x
  2. Step 2: Convert to fraction form
    375,633/820,278 = 820,278/x
  3. Step 3: Cross multiply
    375,633x = 820,278 × 820,278
  4. Step 4: Simplify right side
    375,633x = 672,855,997,284
  5. Step 5: Solve for x
    x = 672,855,997,284/375,633
  6. Step 6: Final answer
    x = 1,791,259.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.