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Finding the Third Proportional to 292,812.47 and 442,910.53

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Solution

The third proportional to 292,812.47 and 442,910.53 is: 669,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,812.47 : 442,910.53 = 442,910.53 : x
  2. Step 2: Convert to fraction form
    292,812.47/442,910.53 = 442,910.53/x
  3. Step 3: Cross multiply
    292,812.47x = 442,910.53 × 442,910.53
  4. Step 4: Simplify right side
    292,812.47x = 196,169,738,692.16
  5. Step 5: Solve for x
    x = 196,169,738,692.16/292,812.47
  6. Step 6: Final answer
    x = 669,950.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.