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Finding the Third Proportional to 71,428 and 105,684

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Solution

The third proportional to 71,428 and 105,684 is: 156,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428 : 105,684 = 105,684 : x
  2. Step 2: Convert to fraction form
    71,428/105,684 = 105,684/x
  3. Step 3: Cross multiply
    71,428x = 105,684 × 105,684
  4. Step 4: Simplify right side
    71,428x = 11,169,107,856
  5. Step 5: Solve for x
    x = 11,169,107,856/71,428
  6. Step 6: Final answer
    x = 156,368.76

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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.