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Finding the Third Proportional to 390,096 and 819,396

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Solution

The third proportional to 390,096 and 819,396 is: 1,721,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,096 : 819,396 = 819,396 : x
  2. Step 2: Convert to fraction form
    390,096/819,396 = 819,396/x
  3. Step 3: Cross multiply
    390,096x = 819,396 × 819,396
  4. Step 4: Simplify right side
    390,096x = 671,409,804,816
  5. Step 5: Solve for x
    x = 671,409,804,816/390,096
  6. Step 6: Final answer
    x = 1,721,139.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.