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Finding the Third Proportional to 261,459.56 and 403,722.56

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Solution

The third proportional to 261,459.56 and 403,722.56 is: 623,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,459.56 : 403,722.56 = 403,722.56 : x
  2. Step 2: Convert to fraction form
    261,459.56/403,722.56 = 403,722.56/x
  3. Step 3: Cross multiply
    261,459.56x = 403,722.56 × 403,722.56
  4. Step 4: Simplify right side
    261,459.56x = 162,991,907,471.57
  5. Step 5: Solve for x
    x = 162,991,907,471.57/261,459.56
  6. Step 6: Final answer
    x = 623,392.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.