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Finding the Third Proportional to 393,889 and 611,066

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Solution

The third proportional to 393,889 and 611,066 is: 947,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,889 : 611,066 = 611,066 : x
  2. Step 2: Convert to fraction form
    393,889/611,066 = 611,066/x
  3. Step 3: Cross multiply
    393,889x = 611,066 × 611,066
  4. Step 4: Simplify right side
    393,889x = 373,401,656,356
  5. Step 5: Solve for x
    x = 373,401,656,356/393,889
  6. Step 6: Final answer
    x = 947,987.01

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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.