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Finding the Third Proportional to 240,880 and 357,840

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Solution

The third proportional to 240,880 and 357,840 is: 531,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,880 : 357,840 = 357,840 : x
  2. Step 2: Convert to fraction form
    240,880/357,840 = 357,840/x
  3. Step 3: Cross multiply
    240,880x = 357,840 × 357,840
  4. Step 4: Simplify right side
    240,880x = 128,049,465,600
  5. Step 5: Solve for x
    x = 128,049,465,600/240,880
  6. Step 6: Final answer
    x = 531,590.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.