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Finding the Third Proportional to 681,963 and 1,434,639

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Solution

The third proportional to 681,963 and 1,434,639 is: 3,018,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,963 : 1,434,639 = 1,434,639 : x
  2. Step 2: Convert to fraction form
    681,963/1,434,639 = 1,434,639/x
  3. Step 3: Cross multiply
    681,963x = 1,434,639 × 1,434,639
  4. Step 4: Simplify right side
    681,963x = 2,058,189,060,321
  5. Step 5: Solve for x
    x = 2,058,189,060,321/681,963
  6. Step 6: Final answer
    x = 3,018,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.