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Finding the Third Proportional to 822,700 and 1,242,790

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Solution

The third proportional to 822,700 and 1,242,790 is: 1,877,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,700 : 1,242,790 = 1,242,790 : x
  2. Step 2: Convert to fraction form
    822,700/1,242,790 = 1,242,790/x
  3. Step 3: Cross multiply
    822,700x = 1,242,790 × 1,242,790
  4. Step 4: Simplify right side
    822,700x = 1,544,526,984,100
  5. Step 5: Solve for x
    x = 1,544,526,984,100/822,700
  6. Step 6: Final answer
    x = 1,877,387.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.