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Finding the Third Proportional to 388,410.50 and 830,791

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Solution

The third proportional to 388,410.50 and 830,791 is: 1,777,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,410.50 : 830,791 = 830,791 : x
  2. Step 2: Convert to fraction form
    388,410.50/830,791 = 830,791/x
  3. Step 3: Cross multiply
    388,410.50x = 830,791 × 830,791
  4. Step 4: Simplify right side
    388,410.50x = 690,213,685,681
  5. Step 5: Solve for x
    x = 690,213,685,681/388,410.50
  6. Step 6: Final answer
    x = 1,777,021.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.