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Finding the Third Proportional to 147,452 and 314,209

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Solution

The third proportional to 147,452 and 314,209 is: 669,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,452 : 314,209 = 314,209 : x
  2. Step 2: Convert to fraction form
    147,452/314,209 = 314,209/x
  3. Step 3: Cross multiply
    147,452x = 314,209 × 314,209
  4. Step 4: Simplify right side
    147,452x = 98,727,295,681
  5. Step 5: Solve for x
    x = 98,727,295,681/147,452
  6. Step 6: Final answer
    x = 669,555.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.