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Finding the Third Proportional to 280,632.50 and 577,809

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Solution

The third proportional to 280,632.50 and 577,809 is: 1,189,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,632.50 : 577,809 = 577,809 : x
  2. Step 2: Convert to fraction form
    280,632.50/577,809 = 577,809/x
  3. Step 3: Cross multiply
    280,632.50x = 577,809 × 577,809
  4. Step 4: Simplify right side
    280,632.50x = 333,863,240,481
  5. Step 5: Solve for x
    x = 333,863,240,481/280,632.50
  6. Step 6: Final answer
    x = 1,189,681.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.