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Finding the Third Proportional to 260,472 and 390,636

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Solution

The third proportional to 260,472 and 390,636 is: 585,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,472 : 390,636 = 390,636 : x
  2. Step 2: Convert to fraction form
    260,472/390,636 = 390,636/x
  3. Step 3: Cross multiply
    260,472x = 390,636 × 390,636
  4. Step 4: Simplify right side
    260,472x = 152,596,484,496
  5. Step 5: Solve for x
    x = 152,596,484,496/260,472
  6. Step 6: Final answer
    x = 585,846.02

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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.