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Finding the Third Proportional to 273,430.50 and 428,066.25

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Solution

The third proportional to 273,430.50 and 428,066.25 is: 670,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,430.50 : 428,066.25 = 428,066.25 : x
  2. Step 2: Convert to fraction form
    273,430.50/428,066.25 = 428,066.25/x
  3. Step 3: Cross multiply
    273,430.50x = 428,066.25 × 428,066.25
  4. Step 4: Simplify right side
    273,430.50x = 183,240,714,389.06
  5. Step 5: Solve for x
    x = 183,240,714,389.06/273,430.50
  6. Step 6: Final answer
    x = 670,154.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.