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Finding the Third Proportional to 721,402 and 1,539,308

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Solution

The third proportional to 721,402 and 1,539,308 is: 3,284,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,402 : 1,539,308 = 1,539,308 : x
  2. Step 2: Convert to fraction form
    721,402/1,539,308 = 1,539,308/x
  3. Step 3: Cross multiply
    721,402x = 1,539,308 × 1,539,308
  4. Step 4: Simplify right side
    721,402x = 2,369,469,118,864
  5. Step 5: Solve for x
    x = 2,369,469,118,864/721,402
  6. Step 6: Final answer
    x = 3,284,533.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.