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Finding the Third Proportional to 140,948 and 307,656

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Solution

The third proportional to 140,948 and 307,656 is: 671,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,948 : 307,656 = 307,656 : x
  2. Step 2: Convert to fraction form
    140,948/307,656 = 307,656/x
  3. Step 3: Cross multiply
    140,948x = 307,656 × 307,656
  4. Step 4: Simplify right side
    140,948x = 94,652,214,336
  5. Step 5: Solve for x
    x = 94,652,214,336/140,948
  6. Step 6: Final answer
    x = 671,539.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.