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Finding the Third Proportional to 356,954 and 552,709

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Solution

The third proportional to 356,954 and 552,709 is: 855,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,954 : 552,709 = 552,709 : x
  2. Step 2: Convert to fraction form
    356,954/552,709 = 552,709/x
  3. Step 3: Cross multiply
    356,954x = 552,709 × 552,709
  4. Step 4: Simplify right side
    356,954x = 305,487,238,681
  5. Step 5: Solve for x
    x = 305,487,238,681/356,954
  6. Step 6: Final answer
    x = 855,816.82

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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.