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Finding the Third Proportional to 296,308 and 638,948

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Solution

The third proportional to 296,308 and 638,948 is: 1,377,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,308 : 638,948 = 638,948 : x
  2. Step 2: Convert to fraction form
    296,308/638,948 = 638,948/x
  3. Step 3: Cross multiply
    296,308x = 638,948 × 638,948
  4. Step 4: Simplify right side
    296,308x = 408,254,546,704
  5. Step 5: Solve for x
    x = 408,254,546,704/296,308
  6. Step 6: Final answer
    x = 1,377,804.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.