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Finding the Third Proportional to 550,705 and 857,468

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Solution

The third proportional to 550,705 and 857,468 is: 1,335,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,705 : 857,468 = 857,468 : x
  2. Step 2: Convert to fraction form
    550,705/857,468 = 857,468/x
  3. Step 3: Cross multiply
    550,705x = 857,468 × 857,468
  4. Step 4: Simplify right side
    550,705x = 735,251,371,024
  5. Step 5: Solve for x
    x = 735,251,371,024/550,705
  6. Step 6: Final answer
    x = 1,335,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.