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Finding the Third Proportional to 153,354 and 232,790.50

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Solution

The third proportional to 153,354 and 232,790.50 is: 353,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,354 : 232,790.50 = 232,790.50 : x
  2. Step 2: Convert to fraction form
    153,354/232,790.50 = 232,790.50/x
  3. Step 3: Cross multiply
    153,354x = 232,790.50 × 232,790.50
  4. Step 4: Simplify right side
    153,354x = 54,191,416,890.25
  5. Step 5: Solve for x
    x = 54,191,416,890.25/153,354
  6. Step 6: Final answer
    x = 353,374.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.