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Finding the Third Proportional to 138,465 and 300,258

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Solution

The third proportional to 138,465 and 300,258 is: 651,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465 : 300,258 = 300,258 : x
  2. Step 2: Convert to fraction form
    138,465/300,258 = 300,258/x
  3. Step 3: Cross multiply
    138,465x = 300,258 × 300,258
  4. Step 4: Simplify right side
    138,465x = 90,154,866,564
  5. Step 5: Solve for x
    x = 90,154,866,564/138,465
  6. Step 6: Final answer
    x = 651,102.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.