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Finding the Third Proportional to 38,402 and 79,470

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Solution

The third proportional to 38,402 and 79,470 is: 164,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 79,470 = 79,470 : x
  2. Step 2: Convert to fraction form
    38,402/79,470 = 79,470/x
  3. Step 3: Cross multiply
    38,402x = 79,470 × 79,470
  4. Step 4: Simplify right side
    38,402x = 6,315,480,900
  5. Step 5: Solve for x
    x = 6,315,480,900/38,402
  6. Step 6: Final answer
    x = 164,457.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.