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Finding the Third Proportional to 306,057 and 459,088.50

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Solution

The third proportional to 306,057 and 459,088.50 is: 688,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057 : 459,088.50 = 459,088.50 : x
  2. Step 2: Convert to fraction form
    306,057/459,088.50 = 459,088.50/x
  3. Step 3: Cross multiply
    306,057x = 459,088.50 × 459,088.50
  4. Step 4: Simplify right side
    306,057x = 210,762,250,832.25
  5. Step 5: Solve for x
    x = 210,762,250,832.25/306,057
  6. Step 6: Final answer
    x = 688,637.25

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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.