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Finding the Third Proportional to 551,157 and 780,103.50

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Solution

The third proportional to 551,157 and 780,103.50 is: 1,104,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,157 : 780,103.50 = 780,103.50 : x
  2. Step 2: Convert to fraction form
    551,157/780,103.50 = 780,103.50/x
  3. Step 3: Cross multiply
    551,157x = 780,103.50 × 780,103.50
  4. Step 4: Simplify right side
    551,157x = 608,561,470,712.25
  5. Step 5: Solve for x
    x = 608,561,470,712.25/551,157
  6. Step 6: Final answer
    x = 1,104,152.67

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.