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Finding the Third Proportional to 64,307 and 139,346

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Solution

The third proportional to 64,307 and 139,346 is: 301,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,307 : 139,346 = 139,346 : x
  2. Step 2: Convert to fraction form
    64,307/139,346 = 139,346/x
  3. Step 3: Cross multiply
    64,307x = 139,346 × 139,346
  4. Step 4: Simplify right side
    64,307x = 19,417,307,716
  5. Step 5: Solve for x
    x = 19,417,307,716/64,307
  6. Step 6: Final answer
    x = 301,947.03

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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.