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Finding the Third Proportional to 551,980 and 830,708

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Solution

The third proportional to 551,980 and 830,708 is: 1,250,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,980 : 830,708 = 830,708 : x
  2. Step 2: Convert to fraction form
    551,980/830,708 = 830,708/x
  3. Step 3: Cross multiply
    551,980x = 830,708 × 830,708
  4. Step 4: Simplify right side
    551,980x = 690,075,781,264
  5. Step 5: Solve for x
    x = 690,075,781,264/551,980
  6. Step 6: Final answer
    x = 1,250,182.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.