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Finding the Third Proportional to 400,365 and 623,502

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Solution

The third proportional to 400,365 and 623,502 is: 971,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,365 : 623,502 = 623,502 : x
  2. Step 2: Convert to fraction form
    400,365/623,502 = 623,502/x
  3. Step 3: Cross multiply
    400,365x = 623,502 × 623,502
  4. Step 4: Simplify right side
    400,365x = 388,754,744,004
  5. Step 5: Solve for x
    x = 388,754,744,004/400,365
  6. Step 6: Final answer
    x = 971,000.82

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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.