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Finding the Third Proportional to 77,030 and 103,959

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Solution

The third proportional to 77,030 and 103,959 is: 140,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,030 : 103,959 = 103,959 : x
  2. Step 2: Convert to fraction form
    77,030/103,959 = 103,959/x
  3. Step 3: Cross multiply
    77,030x = 103,959 × 103,959
  4. Step 4: Simplify right side
    77,030x = 10,807,473,681
  5. Step 5: Solve for x
    x = 10,807,473,681/77,030
  6. Step 6: Final answer
    x = 140,302.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.