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Finding the Third Proportional to 489,435 and 1,005,220

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Solution

The third proportional to 489,435 and 1,005,220 is: 2,064,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,435 : 1,005,220 = 1,005,220 : x
  2. Step 2: Convert to fraction form
    489,435/1,005,220 = 1,005,220/x
  3. Step 3: Cross multiply
    489,435x = 1,005,220 × 1,005,220
  4. Step 4: Simplify right side
    489,435x = 1,010,467,248,400
  5. Step 5: Solve for x
    x = 1,010,467,248,400/489,435
  6. Step 6: Final answer
    x = 2,064,558.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.