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Finding the Third Proportional to 357,076 and 552,902

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Solution

The third proportional to 357,076 and 552,902 is: 856,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,076 : 552,902 = 552,902 : x
  2. Step 2: Convert to fraction form
    357,076/552,902 = 552,902/x
  3. Step 3: Cross multiply
    357,076x = 552,902 × 552,902
  4. Step 4: Simplify right side
    357,076x = 305,700,621,604
  5. Step 5: Solve for x
    x = 305,700,621,604/357,076
  6. Step 6: Final answer
    x = 856,122.01

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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.