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Finding the Third Proportional to 920,234 and 1,421,391

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Solution

The third proportional to 920,234 and 1,421,391 is: 2,195,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,234 : 1,421,391 = 1,421,391 : x
  2. Step 2: Convert to fraction form
    920,234/1,421,391 = 1,421,391/x
  3. Step 3: Cross multiply
    920,234x = 1,421,391 × 1,421,391
  4. Step 4: Simplify right side
    920,234x = 2,020,352,374,881
  5. Step 5: Solve for x
    x = 2,020,352,374,881/920,234
  6. Step 6: Final answer
    x = 2,195,476.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.