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Finding the Third Proportional to 404,964 and 640,432

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Solution

The third proportional to 404,964 and 640,432 is: 1,012,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,964 : 640,432 = 640,432 : x
  2. Step 2: Convert to fraction form
    404,964/640,432 = 640,432/x
  3. Step 3: Cross multiply
    404,964x = 640,432 × 640,432
  4. Step 4: Simplify right side
    404,964x = 410,153,146,624
  5. Step 5: Solve for x
    x = 410,153,146,624/404,964
  6. Step 6: Final answer
    x = 1,012,813.85

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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.