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Finding the Third Proportional to 145,343 and 301,621

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Solution

The third proportional to 145,343 and 301,621 is: 625,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,343 : 301,621 = 301,621 : x
  2. Step 2: Convert to fraction form
    145,343/301,621 = 301,621/x
  3. Step 3: Cross multiply
    145,343x = 301,621 × 301,621
  4. Step 4: Simplify right side
    145,343x = 90,975,227,641
  5. Step 5: Solve for x
    x = 90,975,227,641/145,343
  6. Step 6: Final answer
    x = 625,934.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.