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Finding the Third Proportional to 91,053 and 142,533

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Solution

The third proportional to 91,053 and 142,533 is: 223,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,053 : 142,533 = 142,533 : x
  2. Step 2: Convert to fraction form
    91,053/142,533 = 142,533/x
  3. Step 3: Cross multiply
    91,053x = 142,533 × 142,533
  4. Step 4: Simplify right side
    91,053x = 20,315,656,089
  5. Step 5: Solve for x
    x = 20,315,656,089/91,053
  6. Step 6: Final answer
    x = 223,119.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.