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Finding the Third Proportional to 429,453 and 631,057

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Solution

The third proportional to 429,453 and 631,057 is: 927,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,453 : 631,057 = 631,057 : x
  2. Step 2: Convert to fraction form
    429,453/631,057 = 631,057/x
  3. Step 3: Cross multiply
    429,453x = 631,057 × 631,057
  4. Step 4: Simplify right side
    429,453x = 398,232,937,249
  5. Step 5: Solve for x
    x = 398,232,937,249/429,453
  6. Step 6: Final answer
    x = 927,302.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.