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Finding the Third Proportional to 134,776.50 and 289,237.50

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Solution

The third proportional to 134,776.50 and 289,237.50 is: 620,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,776.50 : 289,237.50 = 289,237.50 : x
  2. Step 2: Convert to fraction form
    134,776.50/289,237.50 = 289,237.50/x
  3. Step 3: Cross multiply
    134,776.50x = 289,237.50 × 289,237.50
  4. Step 4: Simplify right side
    134,776.50x = 83,658,331,406.25
  5. Step 5: Solve for x
    x = 83,658,331,406.25/134,776.50
  6. Step 6: Final answer
    x = 620,718.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.