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Finding the Third Proportional to 153,443 and 334,777

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Solution

The third proportional to 153,443 and 334,777 is: 730,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,443 : 334,777 = 334,777 : x
  2. Step 2: Convert to fraction form
    153,443/334,777 = 334,777/x
  3. Step 3: Cross multiply
    153,443x = 334,777 × 334,777
  4. Step 4: Simplify right side
    153,443x = 112,075,639,729
  5. Step 5: Solve for x
    x = 112,075,639,729/153,443
  6. Step 6: Final answer
    x = 730,405.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.