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Finding the Third Proportional to 139,113 and 297,909

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Solution

The third proportional to 139,113 and 297,909 is: 637,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,113 : 297,909 = 297,909 : x
  2. Step 2: Convert to fraction form
    139,113/297,909 = 297,909/x
  3. Step 3: Cross multiply
    139,113x = 297,909 × 297,909
  4. Step 4: Simplify right side
    139,113x = 88,749,772,281
  5. Step 5: Solve for x
    x = 88,749,772,281/139,113
  6. Step 6: Final answer
    x = 637,968.93

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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.