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Finding the Third Proportional to 263,128.50 and 553,764.09

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Solution

The third proportional to 263,128.50 and 553,764.09 is: 1,165,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,128.50 : 553,764.09 = 553,764.09 : x
  2. Step 2: Convert to fraction form
    263,128.50/553,764.09 = 553,764.09/x
  3. Step 3: Cross multiply
    263,128.50x = 553,764.09 × 553,764.09
  4. Step 4: Simplify right side
    263,128.50x = 306,654,671,526.76
  5. Step 5: Solve for x
    x = 306,654,671,526.76/263,128.50
  6. Step 6: Final answer
    x = 1,165,417.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.