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Finding the Third Proportional to 70,489 and 147,898

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Solution

The third proportional to 70,489 and 147,898 is: 310,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489 : 147,898 = 147,898 : x
  2. Step 2: Convert to fraction form
    70,489/147,898 = 147,898/x
  3. Step 3: Cross multiply
    70,489x = 147,898 × 147,898
  4. Step 4: Simplify right side
    70,489x = 21,873,818,404
  5. Step 5: Solve for x
    x = 21,873,818,404/70,489
  6. Step 6: Final answer
    x = 310,315.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.