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Finding the Third Proportional to 76,542.50 and 120,683.50

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Solution

The third proportional to 76,542.50 and 120,683.50 is: 190,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.50 : 120,683.50 = 120,683.50 : x
  2. Step 2: Convert to fraction form
    76,542.50/120,683.50 = 120,683.50/x
  3. Step 3: Cross multiply
    76,542.50x = 120,683.50 × 120,683.50
  4. Step 4: Simplify right side
    76,542.50x = 14,564,507,172.25
  5. Step 5: Solve for x
    x = 14,564,507,172.25/76,542.50
  6. Step 6: Final answer
    x = 190,280.00

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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.