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Finding the Third Proportional to 302,012.50 and 422,457.50

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Solution

The third proportional to 302,012.50 and 422,457.50 is: 590,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,012.50 : 422,457.50 = 422,457.50 : x
  2. Step 2: Convert to fraction form
    302,012.50/422,457.50 = 422,457.50/x
  3. Step 3: Cross multiply
    302,012.50x = 422,457.50 × 422,457.50
  4. Step 4: Simplify right side
    302,012.50x = 178,470,339,306.25
  5. Step 5: Solve for x
    x = 178,470,339,306.25/302,012.50
  6. Step 6: Final answer
    x = 590,936.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.