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Finding the Third Proportional to 343,520 and 505,332

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Solution

The third proportional to 343,520 and 505,332 is: 743,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,520 : 505,332 = 505,332 : x
  2. Step 2: Convert to fraction form
    343,520/505,332 = 505,332/x
  3. Step 3: Cross multiply
    343,520x = 505,332 × 505,332
  4. Step 4: Simplify right side
    343,520x = 255,360,430,224
  5. Step 5: Solve for x
    x = 255,360,430,224/343,520
  6. Step 6: Final answer
    x = 743,364.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.