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Finding the Third Proportional to 435,398 and 672,515

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Solution

The third proportional to 435,398 and 672,515 is: 1,038,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,398 : 672,515 = 672,515 : x
  2. Step 2: Convert to fraction form
    435,398/672,515 = 672,515/x
  3. Step 3: Cross multiply
    435,398x = 672,515 × 672,515
  4. Step 4: Simplify right side
    435,398x = 452,276,425,225
  5. Step 5: Solve for x
    x = 452,276,425,225/435,398
  6. Step 6: Final answer
    x = 1,038,765.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.