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Finding the Third Proportional to 574,642 and 909,471

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Solution

The third proportional to 574,642 and 909,471 is: 1,439,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,642 : 909,471 = 909,471 : x
  2. Step 2: Convert to fraction form
    574,642/909,471 = 909,471/x
  3. Step 3: Cross multiply
    574,642x = 909,471 × 909,471
  4. Step 4: Simplify right side
    574,642x = 827,137,499,841
  5. Step 5: Solve for x
    x = 827,137,499,841/574,642
  6. Step 6: Final answer
    x = 1,439,396.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.