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Finding the Third Proportional to 353,070 and 724,911

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Solution

The third proportional to 353,070 and 724,911 is: 1,488,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,070 : 724,911 = 724,911 : x
  2. Step 2: Convert to fraction form
    353,070/724,911 = 724,911/x
  3. Step 3: Cross multiply
    353,070x = 724,911 × 724,911
  4. Step 4: Simplify right side
    353,070x = 525,495,957,921
  5. Step 5: Solve for x
    x = 525,495,957,921/353,070
  6. Step 6: Final answer
    x = 1,488,361.96

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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.