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Finding the Third Proportional to 433,026 and 636,417

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Solution

The third proportional to 433,026 and 636,417 is: 935,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,026 : 636,417 = 636,417 : x
  2. Step 2: Convert to fraction form
    433,026/636,417 = 636,417/x
  3. Step 3: Cross multiply
    433,026x = 636,417 × 636,417
  4. Step 4: Simplify right side
    433,026x = 405,026,597,889
  5. Step 5: Solve for x
    x = 405,026,597,889/433,026
  6. Step 6: Final answer
    x = 935,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.