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Finding the Third Proportional to 42,710 and 93,464.50

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Solution

The third proportional to 42,710 and 93,464.50 is: 204,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710 : 93,464.50 = 93,464.50 : x
  2. Step 2: Convert to fraction form
    42,710/93,464.50 = 93,464.50/x
  3. Step 3: Cross multiply
    42,710x = 93,464.50 × 93,464.50
  4. Step 4: Simplify right side
    42,710x = 8,735,612,760.25
  5. Step 5: Solve for x
    x = 8,735,612,760.25/42,710
  6. Step 6: Final answer
    x = 204,533.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.