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Finding the Third Proportional to 145,319 and 324,658

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Solution

The third proportional to 145,319 and 324,658 is: 725,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,319 : 324,658 = 324,658 : x
  2. Step 2: Convert to fraction form
    145,319/324,658 = 324,658/x
  3. Step 3: Cross multiply
    145,319x = 324,658 × 324,658
  4. Step 4: Simplify right side
    145,319x = 105,402,816,964
  5. Step 5: Solve for x
    x = 105,402,816,964/145,319
  6. Step 6: Final answer
    x = 725,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.