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Finding the Third Proportional to 551,179.50 and 780,130.50

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Solution

The third proportional to 551,179.50 and 780,130.50 is: 1,104,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,179.50 : 780,130.50 = 780,130.50 : x
  2. Step 2: Convert to fraction form
    551,179.50/780,130.50 = 780,130.50/x
  3. Step 3: Cross multiply
    551,179.50x = 780,130.50 × 780,130.50
  4. Step 4: Simplify right side
    551,179.50x = 608,603,597,030.25
  5. Step 5: Solve for x
    x = 608,603,597,030.25/551,179.50
  6. Step 6: Final answer
    x = 1,104,184.02

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Why These Related Problems?

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