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Finding the Third Proportional to 699,140 and 1,489,792

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Solution

The third proportional to 699,140 and 1,489,792 is: 3,174,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,140 : 1,489,792 = 1,489,792 : x
  2. Step 2: Convert to fraction form
    699,140/1,489,792 = 1,489,792/x
  3. Step 3: Cross multiply
    699,140x = 1,489,792 × 1,489,792
  4. Step 4: Simplify right side
    699,140x = 2,219,480,203,264
  5. Step 5: Solve for x
    x = 2,219,480,203,264/699,140
  6. Step 6: Final answer
    x = 3,174,586.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.