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Finding the Third Proportional to 138,258 and 291,270

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Solution

The third proportional to 138,258 and 291,270 is: 613,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,258 : 291,270 = 291,270 : x
  2. Step 2: Convert to fraction form
    138,258/291,270 = 291,270/x
  3. Step 3: Cross multiply
    138,258x = 291,270 × 291,270
  4. Step 4: Simplify right side
    138,258x = 84,838,212,900
  5. Step 5: Solve for x
    x = 84,838,212,900/138,258
  6. Step 6: Final answer
    x = 613,622.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.