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Finding the Third Proportional to 302,783 and 720,021

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Solution

The third proportional to 302,783 and 720,021 is: 1,712,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,783 : 720,021 = 720,021 : x
  2. Step 2: Convert to fraction form
    302,783/720,021 = 720,021/x
  3. Step 3: Cross multiply
    302,783x = 720,021 × 720,021
  4. Step 4: Simplify right side
    302,783x = 518,430,240,441
  5. Step 5: Solve for x
    x = 518,430,240,441/302,783
  6. Step 6: Final answer
    x = 1,712,217.13

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.