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Finding the Third Proportional to 306,213 and 459,624

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Solution

The third proportional to 306,213 and 459,624 is: 689,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,213 : 459,624 = 459,624 : x
  2. Step 2: Convert to fraction form
    306,213/459,624 = 459,624/x
  3. Step 3: Cross multiply
    306,213x = 459,624 × 459,624
  4. Step 4: Simplify right side
    306,213x = 211,254,221,376
  5. Step 5: Solve for x
    x = 211,254,221,376/306,213
  6. Step 6: Final answer
    x = 689,893.05

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