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Finding the Third Proportional to 145,419 and 307,605

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Solution

The third proportional to 145,419 and 307,605 is: 650,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419 : 307,605 = 307,605 : x
  2. Step 2: Convert to fraction form
    145,419/307,605 = 307,605/x
  3. Step 3: Cross multiply
    145,419x = 307,605 × 307,605
  4. Step 4: Simplify right side
    145,419x = 94,620,836,025
  5. Step 5: Solve for x
    x = 94,620,836,025/145,419
  6. Step 6: Final answer
    x = 650,677.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.