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Finding the Third Proportional to 145,964 and 314,436

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Solution

The third proportional to 145,964 and 314,436 is: 677,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,964 : 314,436 = 314,436 : x
  2. Step 2: Convert to fraction form
    145,964/314,436 = 314,436/x
  3. Step 3: Cross multiply
    145,964x = 314,436 × 314,436
  4. Step 4: Simplify right side
    145,964x = 98,869,998,096
  5. Step 5: Solve for x
    x = 98,869,998,096/145,964
  6. Step 6: Final answer
    x = 677,358.79

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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.