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Finding the Third Proportional to 345,216 and 740,160

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Solution

The third proportional to 345,216 and 740,160 is: 1,586,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,216 : 740,160 = 740,160 : x
  2. Step 2: Convert to fraction form
    345,216/740,160 = 740,160/x
  3. Step 3: Cross multiply
    345,216x = 740,160 × 740,160
  4. Step 4: Simplify right side
    345,216x = 547,836,825,600
  5. Step 5: Solve for x
    x = 547,836,825,600/345,216
  6. Step 6: Final answer
    x = 1,586,939.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.