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Finding the Third Proportional to 429,457 and 631,063

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Solution

The third proportional to 429,457 and 631,063 is: 927,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,457 : 631,063 = 631,063 : x
  2. Step 2: Convert to fraction form
    429,457/631,063 = 631,063/x
  3. Step 3: Cross multiply
    429,457x = 631,063 × 631,063
  4. Step 4: Simplify right side
    429,457x = 398,240,509,969
  5. Step 5: Solve for x
    x = 398,240,509,969/429,457
  6. Step 6: Final answer
    x = 927,311.72

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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.