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Finding the Third Proportional to 665,429 and 1,442,961

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Solution

The third proportional to 665,429 and 1,442,961 is: 3,129,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,429 : 1,442,961 = 1,442,961 : x
  2. Step 2: Convert to fraction form
    665,429/1,442,961 = 1,442,961/x
  3. Step 3: Cross multiply
    665,429x = 1,442,961 × 1,442,961
  4. Step 4: Simplify right side
    665,429x = 2,082,136,447,521
  5. Step 5: Solve for x
    x = 2,082,136,447,521/665,429
  6. Step 6: Final answer
    x = 3,129,013.69

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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.