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Finding the Third Proportional to 258,730 and 556,804

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Solution

The third proportional to 258,730 and 556,804 is: 1,198,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,730 : 556,804 = 556,804 : x
  2. Step 2: Convert to fraction form
    258,730/556,804 = 556,804/x
  3. Step 3: Cross multiply
    258,730x = 556,804 × 556,804
  4. Step 4: Simplify right side
    258,730x = 310,030,694,416
  5. Step 5: Solve for x
    x = 310,030,694,416/258,730
  6. Step 6: Final answer
    x = 1,198,278.88

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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.