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Finding the Third Proportional to 315,186 and 462,411

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Solution

The third proportional to 315,186 and 462,411 is: 678,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186 : 462,411 = 462,411 : x
  2. Step 2: Convert to fraction form
    315,186/462,411 = 462,411/x
  3. Step 3: Cross multiply
    315,186x = 462,411 × 462,411
  4. Step 4: Simplify right side
    315,186x = 213,823,932,921
  5. Step 5: Solve for x
    x = 213,823,932,921/315,186
  6. Step 6: Final answer
    x = 678,405.55

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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.