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Finding the Third Proportional to 401,438 and 546,783

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Solution

The third proportional to 401,438 and 546,783 is: 744,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,438 : 546,783 = 546,783 : x
  2. Step 2: Convert to fraction form
    401,438/546,783 = 546,783/x
  3. Step 3: Cross multiply
    401,438x = 546,783 × 546,783
  4. Step 4: Simplify right side
    401,438x = 298,971,649,089
  5. Step 5: Solve for x
    x = 298,971,649,089/401,438
  6. Step 6: Final answer
    x = 744,751.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.