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Finding the Third Proportional to 400,663 and 623,972

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Solution

The third proportional to 400,663 and 623,972 is: 971,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,663 : 623,972 = 623,972 : x
  2. Step 2: Convert to fraction form
    400,663/623,972 = 623,972/x
  3. Step 3: Cross multiply
    400,663x = 623,972 × 623,972
  4. Step 4: Simplify right side
    400,663x = 389,341,056,784
  5. Step 5: Solve for x
    x = 389,341,056,784/400,663
  6. Step 6: Final answer
    x = 971,741.98

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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.