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Finding the Third Proportional to 578,880 and 905,376

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Solution

The third proportional to 578,880 and 905,376 is: 1,416,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,880 : 905,376 = 905,376 : x
  2. Step 2: Convert to fraction form
    578,880/905,376 = 905,376/x
  3. Step 3: Cross multiply
    578,880x = 905,376 × 905,376
  4. Step 4: Simplify right side
    578,880x = 819,705,701,376
  5. Step 5: Solve for x
    x = 819,705,701,376/578,880
  6. Step 6: Final answer
    x = 1,416,020.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.