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Finding the Third Proportional to 296,212 and 631,840

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Solution

The third proportional to 296,212 and 631,840 is: 1,347,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,212 : 631,840 = 631,840 : x
  2. Step 2: Convert to fraction form
    296,212/631,840 = 631,840/x
  3. Step 3: Cross multiply
    296,212x = 631,840 × 631,840
  4. Step 4: Simplify right side
    296,212x = 399,221,785,600
  5. Step 5: Solve for x
    x = 399,221,785,600/296,212
  6. Step 6: Final answer
    x = 1,347,756.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.