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Finding the Third Proportional to 312,457 and 669,199.50

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Solution

The third proportional to 312,457 and 669,199.50 is: 1,433,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,457 : 669,199.50 = 669,199.50 : x
  2. Step 2: Convert to fraction form
    312,457/669,199.50 = 669,199.50/x
  3. Step 3: Cross multiply
    312,457x = 669,199.50 × 669,199.50
  4. Step 4: Simplify right side
    312,457x = 447,827,970,800.25
  5. Step 5: Solve for x
    x = 447,827,970,800.25/312,457
  6. Step 6: Final answer
    x = 1,433,246.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.