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Finding the Third Proportional to 385,891.50 and 550,461

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Solution

The third proportional to 385,891.50 and 550,461 is: 785,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,891.50 : 550,461 = 550,461 : x
  2. Step 2: Convert to fraction form
    385,891.50/550,461 = 550,461/x
  3. Step 3: Cross multiply
    385,891.50x = 550,461 × 550,461
  4. Step 4: Simplify right side
    385,891.50x = 303,007,312,521
  5. Step 5: Solve for x
    x = 303,007,312,521/385,891.50
  6. Step 6: Final answer
    x = 785,213.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.