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Finding the Third Proportional to 249,847.50 and 328,027.50

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Solution

The third proportional to 249,847.50 and 328,027.50 is: 430,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,847.50 : 328,027.50 = 328,027.50 : x
  2. Step 2: Convert to fraction form
    249,847.50/328,027.50 = 328,027.50/x
  3. Step 3: Cross multiply
    249,847.50x = 328,027.50 × 328,027.50
  4. Step 4: Simplify right side
    249,847.50x = 107,602,040,756.25
  5. Step 5: Solve for x
    x = 107,602,040,756.25/249,847.50
  6. Step 6: Final answer
    x = 430,670.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.