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Finding the Third Proportional to 400,590 and 623,862

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Solution

The third proportional to 400,590 and 623,862 is: 971,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,590 : 623,862 = 623,862 : x
  2. Step 2: Convert to fraction form
    400,590/623,862 = 623,862/x
  3. Step 3: Cross multiply
    400,590x = 623,862 × 623,862
  4. Step 4: Simplify right side
    400,590x = 389,203,795,044
  5. Step 5: Solve for x
    x = 389,203,795,044/400,590
  6. Step 6: Final answer
    x = 971,576.41

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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.