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Finding the Third Proportional to 390,853 and 856,523

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Solution

The third proportional to 390,853 and 856,523 is: 1,877,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,853 : 856,523 = 856,523 : x
  2. Step 2: Convert to fraction form
    390,853/856,523 = 856,523/x
  3. Step 3: Cross multiply
    390,853x = 856,523 × 856,523
  4. Step 4: Simplify right side
    390,853x = 733,631,649,529
  5. Step 5: Solve for x
    x = 733,631,649,529/390,853
  6. Step 6: Final answer
    x = 1,877,001.45

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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.