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Finding the Third Proportional to 298,937 and 436,909.50

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Solution

The third proportional to 298,937 and 436,909.50 is: 638,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,937 : 436,909.50 = 436,909.50 : x
  2. Step 2: Convert to fraction form
    298,937/436,909.50 = 436,909.50/x
  3. Step 3: Cross multiply
    298,937x = 436,909.50 × 436,909.50
  4. Step 4: Simplify right side
    298,937x = 190,889,911,190.25
  5. Step 5: Solve for x
    x = 190,889,911,190.25/298,937
  6. Step 6: Final answer
    x = 638,562.34

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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.