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Finding the Third Proportional to 390,339 and 856,710

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Solution

The third proportional to 390,339 and 856,710 is: 1,880,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,339 : 856,710 = 856,710 : x
  2. Step 2: Convert to fraction form
    390,339/856,710 = 856,710/x
  3. Step 3: Cross multiply
    390,339x = 856,710 × 856,710
  4. Step 4: Simplify right side
    390,339x = 733,952,024,100
  5. Step 5: Solve for x
    x = 733,952,024,100/390,339
  6. Step 6: Final answer
    x = 1,880,293.86

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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.