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Finding the Third Proportional to 62,205.75 and 136,075.50

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Solution

The third proportional to 62,205.75 and 136,075.50 is: 297,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,205.75 : 136,075.50 = 136,075.50 : x
  2. Step 2: Convert to fraction form
    62,205.75/136,075.50 = 136,075.50/x
  3. Step 3: Cross multiply
    62,205.75x = 136,075.50 × 136,075.50
  4. Step 4: Simplify right side
    62,205.75x = 18,516,541,700.25
  5. Step 5: Solve for x
    x = 18,516,541,700.25/62,205.75
  6. Step 6: Final answer
    x = 297,666.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.