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Finding the Third Proportional to 145,944 and 314,399

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Solution

The third proportional to 145,944 and 314,399 is: 677,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,944 : 314,399 = 314,399 : x
  2. Step 2: Convert to fraction form
    145,944/314,399 = 314,399/x
  3. Step 3: Cross multiply
    145,944x = 314,399 × 314,399
  4. Step 4: Simplify right side
    145,944x = 98,846,731,201
  5. Step 5: Solve for x
    x = 98,846,731,201/145,944
  6. Step 6: Final answer
    x = 677,292.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.