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Finding the Third Proportional to 258,705 and 556,746.75

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Solution

The third proportional to 258,705 and 556,746.75 is: 1,198,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,705 : 556,746.75 = 556,746.75 : x
  2. Step 2: Convert to fraction form
    258,705/556,746.75 = 556,746.75/x
  3. Step 3: Cross multiply
    258,705x = 556,746.75 × 556,746.75
  4. Step 4: Simplify right side
    258,705x = 309,966,943,635.56
  5. Step 5: Solve for x
    x = 309,966,943,635.56/258,705
  6. Step 6: Final answer
    x = 1,198,148.25

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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.