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Finding the Third Proportional to 68,386 and 148,430

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Solution

The third proportional to 68,386 and 148,430 is: 322,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,386 : 148,430 = 148,430 : x
  2. Step 2: Convert to fraction form
    68,386/148,430 = 148,430/x
  3. Step 3: Cross multiply
    68,386x = 148,430 × 148,430
  4. Step 4: Simplify right side
    68,386x = 22,031,464,900
  5. Step 5: Solve for x
    x = 22,031,464,900/68,386
  6. Step 6: Final answer
    x = 322,163.38

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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.