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Finding the Third Proportional to 414,488 and 640,056

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Solution

The third proportional to 414,488 and 640,056 is: 988,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,488 : 640,056 = 640,056 : x
  2. Step 2: Convert to fraction form
    414,488/640,056 = 640,056/x
  3. Step 3: Cross multiply
    414,488x = 640,056 × 640,056
  4. Step 4: Simplify right side
    414,488x = 409,671,683,136
  5. Step 5: Solve for x
    x = 409,671,683,136/414,488
  6. Step 6: Final answer
    x = 988,380.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.