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Finding the Third Proportional to 260,432 and 390,576

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Solution

The third proportional to 260,432 and 390,576 is: 585,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,432 : 390,576 = 390,576 : x
  2. Step 2: Convert to fraction form
    260,432/390,576 = 390,576/x
  3. Step 3: Cross multiply
    260,432x = 390,576 × 390,576
  4. Step 4: Simplify right side
    260,432x = 152,549,611,776
  5. Step 5: Solve for x
    x = 152,549,611,776/260,432
  6. Step 6: Final answer
    x = 585,756.02

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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.