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Finding the Third Proportional to 234,119 and 503,748

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Solution

The third proportional to 234,119 and 503,748 is: 1,083,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,119 : 503,748 = 503,748 : x
  2. Step 2: Convert to fraction form
    234,119/503,748 = 503,748/x
  3. Step 3: Cross multiply
    234,119x = 503,748 × 503,748
  4. Step 4: Simplify right side
    234,119x = 253,762,047,504
  5. Step 5: Solve for x
    x = 253,762,047,504/234,119
  6. Step 6: Final answer
    x = 1,083,901.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.