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Finding the Third Proportional to 356,753 and 552,507

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Solution

The third proportional to 356,753 and 552,507 is: 855,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,753 : 552,507 = 552,507 : x
  2. Step 2: Convert to fraction form
    356,753/552,507 = 552,507/x
  3. Step 3: Cross multiply
    356,753x = 552,507 × 552,507
  4. Step 4: Simplify right side
    356,753x = 305,263,985,049
  5. Step 5: Solve for x
    x = 305,263,985,049/356,753
  6. Step 6: Final answer
    x = 855,673.21

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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.