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Finding the Third Proportional to 393,837.50 and 611,007

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Solution

The third proportional to 393,837.50 and 611,007 is: 947,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,837.50 : 611,007 = 611,007 : x
  2. Step 2: Convert to fraction form
    393,837.50/611,007 = 611,007/x
  3. Step 3: Cross multiply
    393,837.50x = 611,007 × 611,007
  4. Step 4: Simplify right side
    393,837.50x = 373,329,554,049
  5. Step 5: Solve for x
    x = 373,329,554,049/393,837.50
  6. Step 6: Final answer
    x = 947,927.90

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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.