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Finding the Third Proportional to 508,767 and 805,434

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Solution

The third proportional to 508,767 and 805,434 is: 1,275,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,767 : 805,434 = 805,434 : x
  2. Step 2: Convert to fraction form
    508,767/805,434 = 805,434/x
  3. Step 3: Cross multiply
    508,767x = 805,434 × 805,434
  4. Step 4: Simplify right side
    508,767x = 648,723,928,356
  5. Step 5: Solve for x
    x = 648,723,928,356/508,767
  6. Step 6: Final answer
    x = 1,275,090.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.