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Finding the Third Proportional to 434,688 and 664,948

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Solution

The third proportional to 434,688 and 664,948 is: 1,017,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,688 : 664,948 = 664,948 : x
  2. Step 2: Convert to fraction form
    434,688/664,948 = 664,948/x
  3. Step 3: Cross multiply
    434,688x = 664,948 × 664,948
  4. Step 4: Simplify right side
    434,688x = 442,155,842,704
  5. Step 5: Solve for x
    x = 442,155,842,704/434,688
  6. Step 6: Final answer
    x = 1,017,179.78

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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.