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Finding the Third Proportional to 423,796 and 640,014

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Solution

The third proportional to 423,796 and 640,014 is: 966,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,796 : 640,014 = 640,014 : x
  2. Step 2: Convert to fraction form
    423,796/640,014 = 640,014/x
  3. Step 3: Cross multiply
    423,796x = 640,014 × 640,014
  4. Step 4: Simplify right side
    423,796x = 409,617,920,196
  5. Step 5: Solve for x
    x = 409,617,920,196/423,796
  6. Step 6: Final answer
    x = 966,545.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.