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Finding the Third Proportional to 310,981.50 and 440,410.50

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Solution

The third proportional to 310,981.50 and 440,410.50 is: 623,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,981.50 : 440,410.50 = 440,410.50 : x
  2. Step 2: Convert to fraction form
    310,981.50/440,410.50 = 440,410.50/x
  3. Step 3: Cross multiply
    310,981.50x = 440,410.50 × 440,410.50
  4. Step 4: Simplify right side
    310,981.50x = 193,961,408,510.25
  5. Step 5: Solve for x
    x = 193,961,408,510.25/310,981.50
  6. Step 6: Final answer
    x = 623,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.