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Finding the Third Proportional to 113,190 and 237,394.50

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Solution

The third proportional to 113,190 and 237,394.50 is: 497,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,190 : 237,394.50 = 237,394.50 : x
  2. Step 2: Convert to fraction form
    113,190/237,394.50 = 237,394.50/x
  3. Step 3: Cross multiply
    113,190x = 237,394.50 × 237,394.50
  4. Step 4: Simplify right side
    113,190x = 56,356,148,630.25
  5. Step 5: Solve for x
    x = 56,356,148,630.25/113,190
  6. Step 6: Final answer
    x = 497,889.82

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