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Finding the Third Proportional to 355,709 and 546,686

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Solution

The third proportional to 355,709 and 546,686 is: 840,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,709 : 546,686 = 546,686 : x
  2. Step 2: Convert to fraction form
    355,709/546,686 = 546,686/x
  3. Step 3: Cross multiply
    355,709x = 546,686 × 546,686
  4. Step 4: Simplify right side
    355,709x = 298,865,582,596
  5. Step 5: Solve for x
    x = 298,865,582,596/355,709
  6. Step 6: Final answer
    x = 840,196.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.