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Finding the Third Proportional to 306,064 and 430,243

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Solution

The third proportional to 306,064 and 430,243 is: 604,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064 : 430,243 = 430,243 : x
  2. Step 2: Convert to fraction form
    306,064/430,243 = 430,243/x
  3. Step 3: Cross multiply
    306,064x = 430,243 × 430,243
  4. Step 4: Simplify right side
    306,064x = 185,109,039,049
  5. Step 5: Solve for x
    x = 185,109,039,049/306,064
  6. Step 6: Final answer
    x = 604,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.