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Finding the Third Proportional to 393,859.50 and 611,041.50

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Solution

The third proportional to 393,859.50 and 611,041.50 is: 947,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,859.50 : 611,041.50 = 611,041.50 : x
  2. Step 2: Convert to fraction form
    393,859.50/611,041.50 = 611,041.50/x
  3. Step 3: Cross multiply
    393,859.50x = 611,041.50 × 611,041.50
  4. Step 4: Simplify right side
    393,859.50x = 373,371,714,722.25
  5. Step 5: Solve for x
    x = 373,371,714,722.25/393,859.50
  6. Step 6: Final answer
    x = 947,982.00

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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.