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Finding the Third Proportional to 390,717 and 585,967.50

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Solution

The third proportional to 390,717 and 585,967.50 is: 878,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,717 : 585,967.50 = 585,967.50 : x
  2. Step 2: Convert to fraction form
    390,717/585,967.50 = 585,967.50/x
  3. Step 3: Cross multiply
    390,717x = 585,967.50 × 585,967.50
  4. Step 4: Simplify right side
    390,717x = 343,357,911,056.25
  5. Step 5: Solve for x
    x = 343,357,911,056.25/390,717
  6. Step 6: Final answer
    x = 878,789.28

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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.