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Finding the Third Proportional to 349,859 and 724,611

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Solution

The third proportional to 349,859 and 724,611 is: 1,500,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,859 : 724,611 = 724,611 : x
  2. Step 2: Convert to fraction form
    349,859/724,611 = 724,611/x
  3. Step 3: Cross multiply
    349,859x = 724,611 × 724,611
  4. Step 4: Simplify right side
    349,859x = 525,061,101,321
  5. Step 5: Solve for x
    x = 525,061,101,321/349,859
  6. Step 6: Final answer
    x = 1,500,779.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.