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Finding the Third Proportional to 60,413 and 142,140.50

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Solution

The third proportional to 60,413 and 142,140.50 is: 334,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,413 : 142,140.50 = 142,140.50 : x
  2. Step 2: Convert to fraction form
    60,413/142,140.50 = 142,140.50/x
  3. Step 3: Cross multiply
    60,413x = 142,140.50 × 142,140.50
  4. Step 4: Simplify right side
    60,413x = 20,203,921,740.25
  5. Step 5: Solve for x
    x = 20,203,921,740.25/60,413
  6. Step 6: Final answer
    x = 334,430.04

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.