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Finding the Third Proportional to 550,972 and 851,370

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Solution

The third proportional to 550,972 and 851,370 is: 1,315,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,972 : 851,370 = 851,370 : x
  2. Step 2: Convert to fraction form
    550,972/851,370 = 851,370/x
  3. Step 3: Cross multiply
    550,972x = 851,370 × 851,370
  4. Step 4: Simplify right side
    550,972x = 724,830,876,900
  5. Step 5: Solve for x
    x = 724,830,876,900/550,972
  6. Step 6: Final answer
    x = 1,315,549.39

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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.