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Finding the Third Proportional to 60,820 and 90,978

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Solution

The third proportional to 60,820 and 90,978 is: 136,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,820 : 90,978 = 90,978 : x
  2. Step 2: Convert to fraction form
    60,820/90,978 = 90,978/x
  3. Step 3: Cross multiply
    60,820x = 90,978 × 90,978
  4. Step 4: Simplify right side
    60,820x = 8,276,996,484
  5. Step 5: Solve for x
    x = 8,276,996,484/60,820
  6. Step 6: Final answer
    x = 136,090.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.