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Finding the Third Proportional to 572,309 and 885,767

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Solution

The third proportional to 572,309 and 885,767 is: 1,370,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,309 : 885,767 = 885,767 : x
  2. Step 2: Convert to fraction form
    572,309/885,767 = 885,767/x
  3. Step 3: Cross multiply
    572,309x = 885,767 × 885,767
  4. Step 4: Simplify right side
    572,309x = 784,583,178,289
  5. Step 5: Solve for x
    x = 784,583,178,289/572,309
  6. Step 6: Final answer
    x = 1,370,908.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.