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Finding the Third Proportional to 413,174 and 638,445

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Solution

The third proportional to 413,174 and 638,445 is: 986,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,174 : 638,445 = 638,445 : x
  2. Step 2: Convert to fraction form
    413,174/638,445 = 638,445/x
  3. Step 3: Cross multiply
    413,174x = 638,445 × 638,445
  4. Step 4: Simplify right side
    413,174x = 407,612,018,025
  5. Step 5: Solve for x
    x = 407,612,018,025/413,174
  6. Step 6: Final answer
    x = 986,538.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.