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Finding the Third Proportional to 400,564 and 623,838

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Solution

The third proportional to 400,564 and 623,838 is: 971,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,564 : 623,838 = 623,838 : x
  2. Step 2: Convert to fraction form
    400,564/623,838 = 623,838/x
  3. Step 3: Cross multiply
    400,564x = 623,838 × 623,838
  4. Step 4: Simplify right side
    400,564x = 389,173,850,244
  5. Step 5: Solve for x
    x = 389,173,850,244/400,564
  6. Step 6: Final answer
    x = 971,564.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.