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Finding the Third Proportional to 351,572 and 728,066

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Solution

The third proportional to 351,572 and 728,066 is: 1,507,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,572 : 728,066 = 728,066 : x
  2. Step 2: Convert to fraction form
    351,572/728,066 = 728,066/x
  3. Step 3: Cross multiply
    351,572x = 728,066 × 728,066
  4. Step 4: Simplify right side
    351,572x = 530,080,100,356
  5. Step 5: Solve for x
    x = 530,080,100,356/351,572
  6. Step 6: Final answer
    x = 1,507,742.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.