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Finding the Third Proportional to 710,409 and 1,521,906

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Solution

The third proportional to 710,409 and 1,521,906 is: 3,260,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,409 : 1,521,906 = 1,521,906 : x
  2. Step 2: Convert to fraction form
    710,409/1,521,906 = 1,521,906/x
  3. Step 3: Cross multiply
    710,409x = 1,521,906 × 1,521,906
  4. Step 4: Simplify right side
    710,409x = 2,316,197,872,836
  5. Step 5: Solve for x
    x = 2,316,197,872,836/710,409
  6. Step 6: Final answer
    x = 3,260,372.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.