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Finding the Third Proportional to 390,888 and 851,724

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Solution

The third proportional to 390,888 and 851,724 is: 1,855,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,888 : 851,724 = 851,724 : x
  2. Step 2: Convert to fraction form
    390,888/851,724 = 851,724/x
  3. Step 3: Cross multiply
    390,888x = 851,724 × 851,724
  4. Step 4: Simplify right side
    390,888x = 725,433,772,176
  5. Step 5: Solve for x
    x = 725,433,772,176/390,888
  6. Step 6: Final answer
    x = 1,855,860.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.