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Finding the Third Proportional to 103,818 and 148,459

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Solution

The third proportional to 103,818 and 148,459 is: 212,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,818 : 148,459 = 148,459 : x
  2. Step 2: Convert to fraction form
    103,818/148,459 = 148,459/x
  3. Step 3: Cross multiply
    103,818x = 148,459 × 148,459
  4. Step 4: Simplify right side
    103,818x = 22,040,074,681
  5. Step 5: Solve for x
    x = 22,040,074,681/103,818
  6. Step 6: Final answer
    x = 212,295.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.