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Finding the Third Proportional to 70,050 and 105,090

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Solution

The third proportional to 70,050 and 105,090 is: 157,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,050 : 105,090 = 105,090 : x
  2. Step 2: Convert to fraction form
    70,050/105,090 = 105,090/x
  3. Step 3: Cross multiply
    70,050x = 105,090 × 105,090
  4. Step 4: Simplify right side
    70,050x = 11,043,908,100
  5. Step 5: Solve for x
    x = 11,043,908,100/70,050
  6. Step 6: Final answer
    x = 157,657.50

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Why These Related Problems?

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