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Finding the Third Proportional to 384,206.63 and 553,456.13

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Solution

The third proportional to 384,206.63 and 553,456.13 is: 797,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,206.63 : 553,456.13 = 553,456.13 : x
  2. Step 2: Convert to fraction form
    384,206.63/553,456.13 = 553,456.13/x
  3. Step 3: Cross multiply
    384,206.63x = 553,456.13 × 553,456.13
  4. Step 4: Simplify right side
    384,206.63x = 306,313,682,300.02
  5. Step 5: Solve for x
    x = 306,313,682,300.02/384,206.63
  6. Step 6: Final answer
    x = 797,262.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.