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Finding the Third Proportional to 500,733 and 763,712

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Solution

The third proportional to 500,733 and 763,712 is: 1,164,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,733 : 763,712 = 763,712 : x
  2. Step 2: Convert to fraction form
    500,733/763,712 = 763,712/x
  3. Step 3: Cross multiply
    500,733x = 763,712 × 763,712
  4. Step 4: Simplify right side
    500,733x = 583,256,018,944
  5. Step 5: Solve for x
    x = 583,256,018,944/500,733
  6. Step 6: Final answer
    x = 1,164,804.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.