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Finding the Third Proportional to 929,106 and 1,353,211.50

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Solution

The third proportional to 929,106 and 1,353,211.50 is: 1,970,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,106 : 1,353,211.50 = 1,353,211.50 : x
  2. Step 2: Convert to fraction form
    929,106/1,353,211.50 = 1,353,211.50/x
  3. Step 3: Cross multiply
    929,106x = 1,353,211.50 × 1,353,211.50
  4. Step 4: Simplify right side
    929,106x = 1,831,181,363,732.25
  5. Step 5: Solve for x
    x = 1,831,181,363,732.25/929,106
  6. Step 6: Final answer
    x = 1,970,906.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.