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Finding the Third Proportional to 525,480.75 and 706,087.13

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Solution

The third proportional to 525,480.75 and 706,087.13 is: 948,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,480.75 : 706,087.13 = 706,087.13 : x
  2. Step 2: Convert to fraction form
    525,480.75/706,087.13 = 706,087.13/x
  3. Step 3: Cross multiply
    525,480.75x = 706,087.13 × 706,087.13
  4. Step 4: Simplify right side
    525,480.75x = 498,559,028,090.77
  5. Step 5: Solve for x
    x = 498,559,028,090.77/525,480.75
  6. Step 6: Final answer
    x = 948,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.