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Finding the Third Proportional to 278,142.75 and 571,030.50

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Solution

The third proportional to 278,142.75 and 571,030.50 is: 1,172,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,142.75 : 571,030.50 = 571,030.50 : x
  2. Step 2: Convert to fraction form
    278,142.75/571,030.50 = 571,030.50/x
  3. Step 3: Cross multiply
    278,142.75x = 571,030.50 × 571,030.50
  4. Step 4: Simplify right side
    278,142.75x = 326,075,831,930.25
  5. Step 5: Solve for x
    x = 326,075,831,930.25/278,142.75
  6. Step 6: Final answer
    x = 1,172,332.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.