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Finding the Third Proportional to 253,804.50 and 564,343.25

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Solution

The third proportional to 253,804.50 and 564,343.25 is: 1,254,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,804.50 : 564,343.25 = 564,343.25 : x
  2. Step 2: Convert to fraction form
    253,804.50/564,343.25 = 564,343.25/x
  3. Step 3: Cross multiply
    253,804.50x = 564,343.25 × 564,343.25
  4. Step 4: Simplify right side
    253,804.50x = 318,483,303,820.56
  5. Step 5: Solve for x
    x = 318,483,303,820.56/253,804.50
  6. Step 6: Final answer
    x = 1,254,837.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.