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Finding the Third Proportional to 258,971.63 and 569,335.50

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Solution

The third proportional to 258,971.63 and 569,335.50 is: 1,251,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,971.63 : 569,335.50 = 569,335.50 : x
  2. Step 2: Convert to fraction form
    258,971.63/569,335.50 = 569,335.50/x
  3. Step 3: Cross multiply
    258,971.63x = 569,335.50 × 569,335.50
  4. Step 4: Simplify right side
    258,971.63x = 324,142,911,560.25
  5. Step 5: Solve for x
    x = 324,142,911,560.25/258,971.63
  6. Step 6: Final answer
    x = 1,251,654.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.