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Finding the Third Proportional to 145,426 and 209,455

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Solution

The third proportional to 145,426 and 209,455 is: 301,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,426 : 209,455 = 209,455 : x
  2. Step 2: Convert to fraction form
    145,426/209,455 = 209,455/x
  3. Step 3: Cross multiply
    145,426x = 209,455 × 209,455
  4. Step 4: Simplify right side
    145,426x = 43,871,397,025
  5. Step 5: Solve for x
    x = 43,871,397,025/145,426
  6. Step 6: Final answer
    x = 301,675.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.