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Finding the Third Proportional to 260,364 and 390,546

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Solution

The third proportional to 260,364 and 390,546 is: 585,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,364 : 390,546 = 390,546 : x
  2. Step 2: Convert to fraction form
    260,364/390,546 = 390,546/x
  3. Step 3: Cross multiply
    260,364x = 390,546 × 390,546
  4. Step 4: Simplify right side
    260,364x = 152,526,178,116
  5. Step 5: Solve for x
    x = 152,526,178,116/260,364
  6. Step 6: Final answer
    x = 585,819

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.