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Finding the Third Proportional to 722,480 and 1,587,970

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Solution

The third proportional to 722,480 and 1,587,970 is: 3,490,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,480 : 1,587,970 = 1,587,970 : x
  2. Step 2: Convert to fraction form
    722,480/1,587,970 = 1,587,970/x
  3. Step 3: Cross multiply
    722,480x = 1,587,970 × 1,587,970
  4. Step 4: Simplify right side
    722,480x = 2,521,648,720,900
  5. Step 5: Solve for x
    x = 2,521,648,720,900/722,480
  6. Step 6: Final answer
    x = 3,490,267.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.