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Finding the Third Proportional to 553,690 and 791,770

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Solution

The third proportional to 553,690 and 791,770 is: 1,132,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,690 : 791,770 = 791,770 : x
  2. Step 2: Convert to fraction form
    553,690/791,770 = 791,770/x
  3. Step 3: Cross multiply
    553,690x = 791,770 × 791,770
  4. Step 4: Simplify right side
    553,690x = 626,899,732,900
  5. Step 5: Solve for x
    x = 626,899,732,900/553,690
  6. Step 6: Final answer
    x = 1,132,221.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.