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Finding the Third Proportional to 310,989 and 671,598

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Solution

The third proportional to 310,989 and 671,598 is: 1,450,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,989 : 671,598 = 671,598 : x
  2. Step 2: Convert to fraction form
    310,989/671,598 = 671,598/x
  3. Step 3: Cross multiply
    310,989x = 671,598 × 671,598
  4. Step 4: Simplify right side
    310,989x = 451,043,873,604
  5. Step 5: Solve for x
    x = 451,043,873,604/310,989
  6. Step 6: Final answer
    x = 1,450,353.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.