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Finding the Third Proportional to 833,643 and 1,291,653

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Solution

The third proportional to 833,643 and 1,291,653 is: 2,001,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,643 : 1,291,653 = 1,291,653 : x
  2. Step 2: Convert to fraction form
    833,643/1,291,653 = 1,291,653/x
  3. Step 3: Cross multiply
    833,643x = 1,291,653 × 1,291,653
  4. Step 4: Simplify right side
    833,643x = 1,668,367,472,409
  5. Step 5: Solve for x
    x = 1,668,367,472,409/833,643
  6. Step 6: Final answer
    x = 2,001,297.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.