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Finding the Third Proportional to 434,977 and 665,466

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Solution

The third proportional to 434,977 and 665,466 is: 1,018,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,977 : 665,466 = 665,466 : x
  2. Step 2: Convert to fraction form
    434,977/665,466 = 665,466/x
  3. Step 3: Cross multiply
    434,977x = 665,466 × 665,466
  4. Step 4: Simplify right side
    434,977x = 442,844,997,156
  5. Step 5: Solve for x
    x = 442,844,997,156/434,977
  6. Step 6: Final answer
    x = 1,018,088.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.