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Finding the Third Proportional to 378,280 and 586,536

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Solution

The third proportional to 378,280 and 586,536 is: 909,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,280 : 586,536 = 586,536 : x
  2. Step 2: Convert to fraction form
    378,280/586,536 = 586,536/x
  3. Step 3: Cross multiply
    378,280x = 586,536 × 586,536
  4. Step 4: Simplify right side
    378,280x = 344,024,479,296
  5. Step 5: Solve for x
    x = 344,024,479,296/378,280
  6. Step 6: Final answer
    x = 909,444.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.