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Finding the Third Proportional to 145,052.02 and 311,529.80

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Solution

The third proportional to 145,052.02 and 311,529.80 is: 669,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,052.02 : 311,529.80 = 311,529.80 : x
  2. Step 2: Convert to fraction form
    145,052.02/311,529.80 = 311,529.80/x
  3. Step 3: Cross multiply
    145,052.02x = 311,529.80 × 311,529.80
  4. Step 4: Simplify right side
    145,052.02x = 97,050,814,340.98
  5. Step 5: Solve for x
    x = 97,050,814,340.98/145,052.02
  6. Step 6: Final answer
    x = 669,075.94

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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.