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Finding the Third Proportional to 553,243.50 and 854,425.13

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Solution

The third proportional to 553,243.50 and 854,425.13 is: 1,319,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,243.50 : 854,425.13 = 854,425.13 : x
  2. Step 2: Convert to fraction form
    553,243.50/854,425.13 = 854,425.13/x
  3. Step 3: Cross multiply
    553,243.50x = 854,425.13 × 854,425.13
  4. Step 4: Simplify right side
    553,243.50x = 730,042,294,231.27
  5. Step 5: Solve for x
    x = 730,042,294,231.27/553,243.50
  6. Step 6: Final answer
    x = 1,319,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.