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Finding the Third Proportional to 306,180 and 459,594

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Solution

The third proportional to 306,180 and 459,594 is: 689,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,180 : 459,594 = 459,594 : x
  2. Step 2: Convert to fraction form
    306,180/459,594 = 459,594/x
  3. Step 3: Cross multiply
    306,180x = 459,594 × 459,594
  4. Step 4: Simplify right side
    306,180x = 211,226,644,836
  5. Step 5: Solve for x
    x = 211,226,644,836/306,180
  6. Step 6: Final answer
    x = 689,877.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.