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Finding the Third Proportional to 292,210.50 and 438,322.75

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Solution

The third proportional to 292,210.50 and 438,322.75 is: 657,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210.50 : 438,322.75 = 438,322.75 : x
  2. Step 2: Convert to fraction form
    292,210.50/438,322.75 = 438,322.75/x
  3. Step 3: Cross multiply
    292,210.50x = 438,322.75 × 438,322.75
  4. Step 4: Simplify right side
    292,210.50x = 192,126,833,167.56
  5. Step 5: Solve for x
    x = 192,126,833,167.56/292,210.50
  6. Step 6: Final answer
    x = 657,494.63

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Why These Related Problems?

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