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Finding the Third Proportional to 64,430 and 90,731

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Solution

The third proportional to 64,430 and 90,731 is: 127,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,430 : 90,731 = 90,731 : x
  2. Step 2: Convert to fraction form
    64,430/90,731 = 90,731/x
  3. Step 3: Cross multiply
    64,430x = 90,731 × 90,731
  4. Step 4: Simplify right side
    64,430x = 8,232,114,361
  5. Step 5: Solve for x
    x = 8,232,114,361/64,430
  6. Step 6: Final answer
    x = 127,768.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.