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Finding the Third Proportional to 407,964 and 612,309

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Solution

The third proportional to 407,964 and 612,309 is: 919,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,964 : 612,309 = 612,309 : x
  2. Step 2: Convert to fraction form
    407,964/612,309 = 612,309/x
  3. Step 3: Cross multiply
    407,964x = 612,309 × 612,309
  4. Step 4: Simplify right side
    407,964x = 374,922,311,481
  5. Step 5: Solve for x
    x = 374,922,311,481/407,964
  6. Step 6: Final answer
    x = 919,008.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.