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Finding the Third Proportional to 551,166 and 780,106.50

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Solution

The third proportional to 551,166 and 780,106.50 is: 1,104,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,166 : 780,106.50 = 780,106.50 : x
  2. Step 2: Convert to fraction form
    551,166/780,106.50 = 780,106.50/x
  3. Step 3: Cross multiply
    551,166x = 780,106.50 × 780,106.50
  4. Step 4: Simplify right side
    551,166x = 608,566,151,342.25
  5. Step 5: Solve for x
    x = 608,566,151,342.25/551,166
  6. Step 6: Final answer
    x = 1,104,143.13

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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.