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Finding the Third Proportional to 120,328.50 and 190,699.50

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Solution

The third proportional to 120,328.50 and 190,699.50 is: 302,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,328.50 : 190,699.50 = 190,699.50 : x
  2. Step 2: Convert to fraction form
    120,328.50/190,699.50 = 190,699.50/x
  3. Step 3: Cross multiply
    120,328.50x = 190,699.50 × 190,699.50
  4. Step 4: Simplify right side
    120,328.50x = 36,366,299,300.25
  5. Step 5: Solve for x
    x = 36,366,299,300.25/120,328.50
  6. Step 6: Final answer
    x = 302,225.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.