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Finding the Third Proportional to 245,360 and 369,270

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Solution

The third proportional to 245,360 and 369,270 is: 555,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,360 : 369,270 = 369,270 : x
  2. Step 2: Convert to fraction form
    245,360/369,270 = 369,270/x
  3. Step 3: Cross multiply
    245,360x = 369,270 × 369,270
  4. Step 4: Simplify right side
    245,360x = 136,360,332,900
  5. Step 5: Solve for x
    x = 136,360,332,900/245,360
  6. Step 6: Final answer
    x = 555,756.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.