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Finding the Third Proportional to 390,873 and 856,554

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Solution

The third proportional to 390,873 and 856,554 is: 1,877,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,873 : 856,554 = 856,554 : x
  2. Step 2: Convert to fraction form
    390,873/856,554 = 856,554/x
  3. Step 3: Cross multiply
    390,873x = 856,554 × 856,554
  4. Step 4: Simplify right side
    390,873x = 733,684,754,916
  5. Step 5: Solve for x
    x = 733,684,754,916/390,873
  6. Step 6: Final answer
    x = 1,877,041.28

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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.