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Finding the Third Proportional to 297,048 and 638,877.75

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Solution

The third proportional to 297,048 and 638,877.75 is: 1,374,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,048 : 638,877.75 = 638,877.75 : x
  2. Step 2: Convert to fraction form
    297,048/638,877.75 = 638,877.75/x
  3. Step 3: Cross multiply
    297,048x = 638,877.75 × 638,877.75
  4. Step 4: Simplify right side
    297,048x = 408,164,779,445.06
  5. Step 5: Solve for x
    x = 408,164,779,445.06/297,048
  6. Step 6: Final answer
    x = 1,374,070.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.