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Finding the Third Proportional to 259,752 and 390,390

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Solution

The third proportional to 259,752 and 390,390 is: 586,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,752 : 390,390 = 390,390 : x
  2. Step 2: Convert to fraction form
    259,752/390,390 = 390,390/x
  3. Step 3: Cross multiply
    259,752x = 390,390 × 390,390
  4. Step 4: Simplify right side
    259,752x = 152,404,352,100
  5. Step 5: Solve for x
    x = 152,404,352,100/259,752
  6. Step 6: Final answer
    x = 586,730.24

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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.