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Finding the Third Proportional to 203,796 and 432,256.50

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Solution

The third proportional to 203,796 and 432,256.50 is: 916,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796 : 432,256.50 = 432,256.50 : x
  2. Step 2: Convert to fraction form
    203,796/432,256.50 = 432,256.50/x
  3. Step 3: Cross multiply
    203,796x = 432,256.50 × 432,256.50
  4. Step 4: Simplify right side
    203,796x = 186,845,681,792.25
  5. Step 5: Solve for x
    x = 186,845,681,792.25/203,796
  6. Step 6: Final answer
    x = 916,827.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.