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Finding the Third Proportional to 353,070 and 724,740

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Solution

The third proportional to 353,070 and 724,740 is: 1,487,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,070 : 724,740 = 724,740 : x
  2. Step 2: Convert to fraction form
    353,070/724,740 = 724,740/x
  3. Step 3: Cross multiply
    353,070x = 724,740 × 724,740
  4. Step 4: Simplify right side
    353,070x = 525,248,067,600
  5. Step 5: Solve for x
    x = 525,248,067,600/353,070
  6. Step 6: Final answer
    x = 1,487,659.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.