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Finding the Third Proportional to 297,886.50 and 638,416.13

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Solution

The third proportional to 297,886.50 and 638,416.13 is: 1,368,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,886.50 : 638,416.13 = 638,416.13 : x
  2. Step 2: Convert to fraction form
    297,886.50/638,416.13 = 638,416.13/x
  3. Step 3: Cross multiply
    297,886.50x = 638,416.13 × 638,416.13
  4. Step 4: Simplify right side
    297,886.50x = 407,575,148,660.02
  5. Step 5: Solve for x
    x = 407,575,148,660.02/297,886.50
  6. Step 6: Final answer
    x = 1,368,222.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.