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Finding the Third Proportional to 431,604 and 631,764

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Solution

The third proportional to 431,604 and 631,764 is: 924,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,604 : 631,764 = 631,764 : x
  2. Step 2: Convert to fraction form
    431,604/631,764 = 631,764/x
  3. Step 3: Cross multiply
    431,604x = 631,764 × 631,764
  4. Step 4: Simplify right side
    431,604x = 399,125,751,696
  5. Step 5: Solve for x
    x = 399,125,751,696/431,604
  6. Step 6: Final answer
    x = 924,749.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.