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Finding the Third Proportional to 411,072 and 614,928

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Solution

The third proportional to 411,072 and 614,928 is: 919,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,072 : 614,928 = 614,928 : x
  2. Step 2: Convert to fraction form
    411,072/614,928 = 614,928/x
  3. Step 3: Cross multiply
    411,072x = 614,928 × 614,928
  4. Step 4: Simplify right side
    411,072x = 378,136,445,184
  5. Step 5: Solve for x
    x = 378,136,445,184/411,072
  6. Step 6: Final answer
    x = 919,878.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.