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Finding the Third Proportional to 306,029 and 459,044

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Solution

The third proportional to 306,029 and 459,044 is: 688,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029 : 459,044 = 459,044 : x
  2. Step 2: Convert to fraction form
    306,029/459,044 = 459,044/x
  3. Step 3: Cross multiply
    306,029x = 459,044 × 459,044
  4. Step 4: Simplify right side
    306,029x = 210,721,393,936
  5. Step 5: Solve for x
    x = 210,721,393,936/306,029
  6. Step 6: Final answer
    x = 688,566.75

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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.