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Finding the Third Proportional to 260,788 and 390,210

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Solution

The third proportional to 260,788 and 390,210 is: 583,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,788 : 390,210 = 390,210 : x
  2. Step 2: Convert to fraction form
    260,788/390,210 = 390,210/x
  3. Step 3: Cross multiply
    260,788x = 390,210 × 390,210
  4. Step 4: Simplify right side
    260,788x = 152,263,844,100
  5. Step 5: Solve for x
    x = 152,263,844,100/260,788
  6. Step 6: Final answer
    x = 583,860.62

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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.