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Finding the Third Proportional to 306,045 and 459,069

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Solution

The third proportional to 306,045 and 459,069 is: 688,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045 : 459,069 = 459,069 : x
  2. Step 2: Convert to fraction form
    306,045/459,069 = 459,069/x
  3. Step 3: Cross multiply
    306,045x = 459,069 × 459,069
  4. Step 4: Simplify right side
    306,045x = 210,744,346,761
  5. Step 5: Solve for x
    x = 210,744,346,761/306,045
  6. Step 6: Final answer
    x = 688,605.75

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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.