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Finding the Third Proportional to 145,965 and 314,439

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Solution

The third proportional to 145,965 and 314,439 is: 677,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,965 : 314,439 = 314,439 : x
  2. Step 2: Convert to fraction form
    145,965/314,439 = 314,439/x
  3. Step 3: Cross multiply
    145,965x = 314,439 × 314,439
  4. Step 4: Simplify right side
    145,965x = 98,871,884,721
  5. Step 5: Solve for x
    x = 98,871,884,721/145,965
  6. Step 6: Final answer
    x = 677,367.07

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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.