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Finding the Third Proportional to 105,428 and 168,623

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Solution

The third proportional to 105,428 and 168,623 is: 269,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,428 : 168,623 = 168,623 : x
  2. Step 2: Convert to fraction form
    105,428/168,623 = 168,623/x
  3. Step 3: Cross multiply
    105,428x = 168,623 × 168,623
  4. Step 4: Simplify right side
    105,428x = 28,433,716,129
  5. Step 5: Solve for x
    x = 28,433,716,129/105,428
  6. Step 6: Final answer
    x = 269,697.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.