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Finding the Third Proportional to 135,472.50 and 289,075.50

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Solution

The third proportional to 135,472.50 and 289,075.50 is: 616,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.50 : 289,075.50 = 289,075.50 : x
  2. Step 2: Convert to fraction form
    135,472.50/289,075.50 = 289,075.50/x
  3. Step 3: Cross multiply
    135,472.50x = 289,075.50 × 289,075.50
  4. Step 4: Simplify right side
    135,472.50x = 83,564,644,700.25
  5. Step 5: Solve for x
    x = 83,564,644,700.25/135,472.50
  6. Step 6: Final answer
    x = 616,838.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.