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Finding the Third Proportional to 305,994 and 430,143

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Solution

The third proportional to 305,994 and 430,143 is: 604,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,994 : 430,143 = 430,143 : x
  2. Step 2: Convert to fraction form
    305,994/430,143 = 430,143/x
  3. Step 3: Cross multiply
    305,994x = 430,143 × 430,143
  4. Step 4: Simplify right side
    305,994x = 185,023,000,449
  5. Step 5: Solve for x
    x = 185,023,000,449/305,994
  6. Step 6: Final answer
    x = 604,662.18

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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.