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Finding the Third Proportional to 145,426 and 213,350

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Solution

The third proportional to 145,426 and 213,350 is: 312,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,426 : 213,350 = 213,350 : x
  2. Step 2: Convert to fraction form
    145,426/213,350 = 213,350/x
  3. Step 3: Cross multiply
    145,426x = 213,350 × 213,350
  4. Step 4: Simplify right side
    145,426x = 45,518,222,500
  5. Step 5: Solve for x
    x = 45,518,222,500/145,426
  6. Step 6: Final answer
    x = 312,999.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.