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Finding the Third Proportional to 64,411 and 138,346

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Solution

The third proportional to 64,411 and 138,346 is: 297,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,411 : 138,346 = 138,346 : x
  2. Step 2: Convert to fraction form
    64,411/138,346 = 138,346/x
  3. Step 3: Cross multiply
    64,411x = 138,346 × 138,346
  4. Step 4: Simplify right side
    64,411x = 19,139,615,716
  5. Step 5: Solve for x
    x = 19,139,615,716/64,411
  6. Step 6: Final answer
    x = 297,148.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.