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Finding the Third Proportional to 433,192 and 646,196

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Solution

The third proportional to 433,192 and 646,196 is: 963,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,192 : 646,196 = 646,196 : x
  2. Step 2: Convert to fraction form
    433,192/646,196 = 646,196/x
  3. Step 3: Cross multiply
    433,192x = 646,196 × 646,196
  4. Step 4: Simplify right side
    433,192x = 417,569,270,416
  5. Step 5: Solve for x
    x = 417,569,270,416/433,192
  6. Step 6: Final answer
    x = 963,935.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.