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Finding the Third Proportional to 66,030 and 142,579

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Solution

The third proportional to 66,030 and 142,579 is: 307,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,030 : 142,579 = 142,579 : x
  2. Step 2: Convert to fraction form
    66,030/142,579 = 142,579/x
  3. Step 3: Cross multiply
    66,030x = 142,579 × 142,579
  4. Step 4: Simplify right side
    66,030x = 20,328,771,241
  5. Step 5: Solve for x
    x = 20,328,771,241/66,030
  6. Step 6: Final answer
    x = 307,871.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.