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Finding the Third Proportional to 430,139 and 629,994

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Solution

The third proportional to 430,139 and 629,994 is: 922,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,139 : 629,994 = 629,994 : x
  2. Step 2: Convert to fraction form
    430,139/629,994 = 629,994/x
  3. Step 3: Cross multiply
    430,139x = 629,994 × 629,994
  4. Step 4: Simplify right side
    430,139x = 396,892,440,036
  5. Step 5: Solve for x
    x = 396,892,440,036/430,139
  6. Step 6: Final answer
    x = 922,707.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.