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Finding the Third Proportional to 722,919 and 1,570,458

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Solution

The third proportional to 722,919 and 1,570,458 is: 3,411,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,919 : 1,570,458 = 1,570,458 : x
  2. Step 2: Convert to fraction form
    722,919/1,570,458 = 1,570,458/x
  3. Step 3: Cross multiply
    722,919x = 1,570,458 × 1,570,458
  4. Step 4: Simplify right side
    722,919x = 2,466,338,329,764
  5. Step 5: Solve for x
    x = 2,466,338,329,764/722,919
  6. Step 6: Final answer
    x = 3,411,638.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.