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Finding the Third Proportional to 71,426 and 105,681

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Solution

The third proportional to 71,426 and 105,681 is: 156,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,426 : 105,681 = 105,681 : x
  2. Step 2: Convert to fraction form
    71,426/105,681 = 105,681/x
  3. Step 3: Cross multiply
    71,426x = 105,681 × 105,681
  4. Step 4: Simplify right side
    71,426x = 11,168,473,761
  5. Step 5: Solve for x
    x = 11,168,473,761/71,426
  6. Step 6: Final answer
    x = 156,364.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.