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Finding the Third Proportional to 480,711.50 and 733,780

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Solution

The third proportional to 480,711.50 and 733,780 is: 1,120,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,711.50 : 733,780 = 733,780 : x
  2. Step 2: Convert to fraction form
    480,711.50/733,780 = 733,780/x
  3. Step 3: Cross multiply
    480,711.50x = 733,780 × 733,780
  4. Step 4: Simplify right side
    480,711.50x = 538,433,088,400
  5. Step 5: Solve for x
    x = 538,433,088,400/480,711.50
  6. Step 6: Final answer
    x = 1,120,075.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.