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Finding the Third Proportional to 292,173.75 and 438,260.63

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Solution

The third proportional to 292,173.75 and 438,260.63 is: 657,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,173.75 : 438,260.63 = 438,260.63 : x
  2. Step 2: Convert to fraction form
    292,173.75/438,260.63 = 438,260.63/x
  3. Step 3: Cross multiply
    292,173.75x = 438,260.63 × 438,260.63
  4. Step 4: Simplify right side
    292,173.75x = 192,072,375,425.39
  5. Step 5: Solve for x
    x = 192,072,375,425.39/292,173.75
  6. Step 6: Final answer
    x = 657,390.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.