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Finding the Third Proportional to 258,720.25 and 565,536.50

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Solution

The third proportional to 258,720.25 and 565,536.50 is: 1,236,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720.25 : 565,536.50 = 565,536.50 : x
  2. Step 2: Convert to fraction form
    258,720.25/565,536.50 = 565,536.50/x
  3. Step 3: Cross multiply
    258,720.25x = 565,536.50 × 565,536.50
  4. Step 4: Simplify right side
    258,720.25x = 319,831,532,832.25
  5. Step 5: Solve for x
    x = 319,831,532,832.25/258,720.25
  6. Step 6: Final answer
    x = 1,236,206.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.