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Finding the Third Proportional to 258,730 and 558,284

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Solution

The third proportional to 258,730 and 558,284 is: 1,204,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,730 : 558,284 = 558,284 : x
  2. Step 2: Convert to fraction form
    258,730/558,284 = 558,284/x
  3. Step 3: Cross multiply
    258,730x = 558,284 × 558,284
  4. Step 4: Simplify right side
    258,730x = 311,681,024,656
  5. Step 5: Solve for x
    x = 311,681,024,656/258,730
  6. Step 6: Final answer
    x = 1,204,657.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.