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Finding the Third Proportional to 140,461 and 307,197

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Solution

The third proportional to 140,461 and 307,197 is: 671,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,461 : 307,197 = 307,197 : x
  2. Step 2: Convert to fraction form
    140,461/307,197 = 307,197/x
  3. Step 3: Cross multiply
    140,461x = 307,197 × 307,197
  4. Step 4: Simplify right side
    140,461x = 94,369,996,809
  5. Step 5: Solve for x
    x = 94,369,996,809/140,461
  6. Step 6: Final answer
    x = 671,859.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.