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Finding the Third Proportional to 147,450 and 314,205

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Solution

The third proportional to 147,450 and 314,205 is: 669,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,450 : 314,205 = 314,205 : x
  2. Step 2: Convert to fraction form
    147,450/314,205 = 314,205/x
  3. Step 3: Cross multiply
    147,450x = 314,205 × 314,205
  4. Step 4: Simplify right side
    147,450x = 98,724,782,025
  5. Step 5: Solve for x
    x = 98,724,782,025/147,450
  6. Step 6: Final answer
    x = 669,547.52

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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.