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Finding the Third Proportional to 260,369 and 390,553

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Solution

The third proportional to 260,369 and 390,553 is: 585,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,369 : 390,553 = 390,553 : x
  2. Step 2: Convert to fraction form
    260,369/390,553 = 390,553/x
  3. Step 3: Cross multiply
    260,369x = 390,553 × 390,553
  4. Step 4: Simplify right side
    260,369x = 152,531,645,809
  5. Step 5: Solve for x
    x = 152,531,645,809/260,369
  6. Step 6: Final answer
    x = 585,828.75

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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.