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Finding the Third Proportional to 306,070.50 and 459,108

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Solution

The third proportional to 306,070.50 and 459,108 is: 688,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,070.50 : 459,108 = 459,108 : x
  2. Step 2: Convert to fraction form
    306,070.50/459,108 = 459,108/x
  3. Step 3: Cross multiply
    306,070.50x = 459,108 × 459,108
  4. Step 4: Simplify right side
    306,070.50x = 210,780,155,664
  5. Step 5: Solve for x
    x = 210,780,155,664/306,070.50
  6. Step 6: Final answer
    x = 688,665.38

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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.