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Finding the Third Proportional to 433,188 and 646,191

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Solution

The third proportional to 433,188 and 646,191 is: 963,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,188 : 646,191 = 646,191 : x
  2. Step 2: Convert to fraction form
    433,188/646,191 = 646,191/x
  3. Step 3: Cross multiply
    433,188x = 646,191 × 646,191
  4. Step 4: Simplify right side
    433,188x = 417,562,808,481
  5. Step 5: Solve for x
    x = 417,562,808,481/433,188
  6. Step 6: Final answer
    x = 963,929.77

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Why These Related Problems?

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