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Finding the Third Proportional to 286,402 and 420,834

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Solution

The third proportional to 286,402 and 420,834 is: 618,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,402 : 420,834 = 420,834 : x
  2. Step 2: Convert to fraction form
    286,402/420,834 = 420,834/x
  3. Step 3: Cross multiply
    286,402x = 420,834 × 420,834
  4. Step 4: Simplify right side
    286,402x = 177,101,255,556
  5. Step 5: Solve for x
    x = 177,101,255,556/286,402
  6. Step 6: Final answer
    x = 618,365.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.