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Finding the Third Proportional to 343,783.50 and 524,574

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Solution

The third proportional to 343,783.50 and 524,574 is: 800,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,783.50 : 524,574 = 524,574 : x
  2. Step 2: Convert to fraction form
    343,783.50/524,574 = 524,574/x
  3. Step 3: Cross multiply
    343,783.50x = 524,574 × 524,574
  4. Step 4: Simplify right side
    343,783.50x = 275,177,881,476
  5. Step 5: Solve for x
    x = 275,177,881,476/343,783.50
  6. Step 6: Final answer
    x = 800,439.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.