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Finding the Third Proportional to 50,127 and 70,078.50

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Solution

The third proportional to 50,127 and 70,078.50 is: 97,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,127 : 70,078.50 = 70,078.50 : x
  2. Step 2: Convert to fraction form
    50,127/70,078.50 = 70,078.50/x
  3. Step 3: Cross multiply
    50,127x = 70,078.50 × 70,078.50
  4. Step 4: Simplify right side
    50,127x = 4,910,996,162.25
  5. Step 5: Solve for x
    x = 4,910,996,162.25/50,127
  6. Step 6: Final answer
    x = 97,971.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.