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Finding the Third Proportional to 434,636 and 664,872

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Solution

The third proportional to 434,636 and 664,872 is: 1,017,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,636 : 664,872 = 664,872 : x
  2. Step 2: Convert to fraction form
    434,636/664,872 = 664,872/x
  3. Step 3: Cross multiply
    434,636x = 664,872 × 664,872
  4. Step 4: Simplify right side
    434,636x = 442,054,776,384
  5. Step 5: Solve for x
    x = 442,054,776,384/434,636
  6. Step 6: Final answer
    x = 1,017,068.94

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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.