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Finding the Third Proportional to 390,172 and 838,556

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Solution

The third proportional to 390,172 and 838,556 is: 1,802,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,172 : 838,556 = 838,556 : x
  2. Step 2: Convert to fraction form
    390,172/838,556 = 838,556/x
  3. Step 3: Cross multiply
    390,172x = 838,556 × 838,556
  4. Step 4: Simplify right side
    390,172x = 703,176,165,136
  5. Step 5: Solve for x
    x = 703,176,165,136/390,172
  6. Step 6: Final answer
    x = 1,802,220.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.