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Finding the Third Proportional to 306,213 and 459,625.50

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Solution

The third proportional to 306,213 and 459,625.50 is: 689,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,213 : 459,625.50 = 459,625.50 : x
  2. Step 2: Convert to fraction form
    306,213/459,625.50 = 459,625.50/x
  3. Step 3: Cross multiply
    306,213x = 459,625.50 × 459,625.50
  4. Step 4: Simplify right side
    306,213x = 211,255,600,250.25
  5. Step 5: Solve for x
    x = 211,255,600,250.25/306,213
  6. Step 6: Final answer
    x = 689,897.56

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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.