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Finding the Third Proportional to 116,140 and 163,555.50

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Solution

The third proportional to 116,140 and 163,555.50 is: 230,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,140 : 163,555.50 = 163,555.50 : x
  2. Step 2: Convert to fraction form
    116,140/163,555.50 = 163,555.50/x
  3. Step 3: Cross multiply
    116,140x = 163,555.50 × 163,555.50
  4. Step 4: Simplify right side
    116,140x = 26,750,401,580.25
  5. Step 5: Solve for x
    x = 26,750,401,580.25/116,140
  6. Step 6: Final answer
    x = 230,328.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.