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Finding the Third Proportional to 921,998 and 1,242,921

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Solution

The third proportional to 921,998 and 1,242,921 is: 1,675,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,998 : 1,242,921 = 1,242,921 : x
  2. Step 2: Convert to fraction form
    921,998/1,242,921 = 1,242,921/x
  3. Step 3: Cross multiply
    921,998x = 1,242,921 × 1,242,921
  4. Step 4: Simplify right side
    921,998x = 1,544,852,612,241
  5. Step 5: Solve for x
    x = 1,544,852,612,241/921,998
  6. Step 6: Final answer
    x = 1,675,548.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.