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Finding the Third Proportional to 145,639.50 and 311,518.50

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Solution

The third proportional to 145,639.50 and 311,518.50 is: 666,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,639.50 : 311,518.50 = 311,518.50 : x
  2. Step 2: Convert to fraction form
    145,639.50/311,518.50 = 311,518.50/x
  3. Step 3: Cross multiply
    145,639.50x = 311,518.50 × 311,518.50
  4. Step 4: Simplify right side
    145,639.50x = 97,043,775,842.25
  5. Step 5: Solve for x
    x = 97,043,775,842.25/145,639.50
  6. Step 6: Final answer
    x = 666,328.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.