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Finding the Third Proportional to 77,246 and 169,258

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Solution

The third proportional to 77,246 and 169,258 is: 370,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,246 : 169,258 = 169,258 : x
  2. Step 2: Convert to fraction form
    77,246/169,258 = 169,258/x
  3. Step 3: Cross multiply
    77,246x = 169,258 × 169,258
  4. Step 4: Simplify right side
    77,246x = 28,648,270,564
  5. Step 5: Solve for x
    x = 28,648,270,564/77,246
  6. Step 6: Final answer
    x = 370,870.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.