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Finding the Third Proportional to 357,074 and 552,899

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Solution

The third proportional to 357,074 and 552,899 is: 856,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,074 : 552,899 = 552,899 : x
  2. Step 2: Convert to fraction form
    357,074/552,899 = 552,899/x
  3. Step 3: Cross multiply
    357,074x = 552,899 × 552,899
  4. Step 4: Simplify right side
    357,074x = 305,697,304,201
  5. Step 5: Solve for x
    x = 305,697,304,201/357,074
  6. Step 6: Final answer
    x = 856,117.51

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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.