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Finding the Third Proportional to 841,142 and 1,850,503

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Solution

The third proportional to 841,142 and 1,850,503 is: 4,071,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,142 : 1,850,503 = 1,850,503 : x
  2. Step 2: Convert to fraction form
    841,142/1,850,503 = 1,850,503/x
  3. Step 3: Cross multiply
    841,142x = 1,850,503 × 1,850,503
  4. Step 4: Simplify right side
    841,142x = 3,424,361,353,009
  5. Step 5: Solve for x
    x = 3,424,361,353,009/841,142
  6. Step 6: Final answer
    x = 4,071,085.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.