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Finding the Third Proportional to 135,054 and 289,730

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Solution

The third proportional to 135,054 and 289,730 is: 621,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,054 : 289,730 = 289,730 : x
  2. Step 2: Convert to fraction form
    135,054/289,730 = 289,730/x
  3. Step 3: Cross multiply
    135,054x = 289,730 × 289,730
  4. Step 4: Simplify right side
    135,054x = 83,943,472,900
  5. Step 5: Solve for x
    x = 83,943,472,900/135,054
  6. Step 6: Final answer
    x = 621,554.88

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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.