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Finding the Third Proportional to 275,203.41 and 387,547.03

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Solution

The third proportional to 275,203.41 and 387,547.03 is: 545,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,203.41 : 387,547.03 = 387,547.03 : x
  2. Step 2: Convert to fraction form
    275,203.41/387,547.03 = 387,547.03/x
  3. Step 3: Cross multiply
    275,203.41x = 387,547.03 × 387,547.03
  4. Step 4: Simplify right side
    275,203.41x = 150,192,701,430.69
  5. Step 5: Solve for x
    x = 150,192,701,430.69/275,203.41
  6. Step 6: Final answer
    x = 545,751.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.