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Finding the Third Proportional to 306,730 and 669,230

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Solution

The third proportional to 306,730 and 669,230 is: 1,460,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,730 : 669,230 = 669,230 : x
  2. Step 2: Convert to fraction form
    306,730/669,230 = 669,230/x
  3. Step 3: Cross multiply
    306,730x = 669,230 × 669,230
  4. Step 4: Simplify right side
    306,730x = 447,868,792,900
  5. Step 5: Solve for x
    x = 447,868,792,900/306,730
  6. Step 6: Final answer
    x = 1,460,140.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.