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Finding the Third Proportional to 390,878 and 856,562

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Solution

The third proportional to 390,878 and 856,562 is: 1,877,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,878 : 856,562 = 856,562 : x
  2. Step 2: Convert to fraction form
    390,878/856,562 = 856,562/x
  3. Step 3: Cross multiply
    390,878x = 856,562 × 856,562
  4. Step 4: Simplify right side
    390,878x = 733,698,459,844
  5. Step 5: Solve for x
    x = 733,698,459,844/390,878
  6. Step 6: Final answer
    x = 1,877,052.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.