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Finding the Third Proportional to 235,817.89 and 508,980.90

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Solution

The third proportional to 235,817.89 and 508,980.90 is: 1,098,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,817.89 : 508,980.90 = 508,980.90 : x
  2. Step 2: Convert to fraction form
    235,817.89/508,980.90 = 508,980.90/x
  3. Step 3: Cross multiply
    235,817.89x = 508,980.90 × 508,980.90
  4. Step 4: Simplify right side
    235,817.89x = 259,061,558,950.66
  5. Step 5: Solve for x
    x = 259,061,558,950.66/235,817.89
  6. Step 6: Final answer
    x = 1,098,566.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.