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Finding the Third Proportional to 305,270 and 448,779

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Solution

The third proportional to 305,270 and 448,779 is: 659,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,270 : 448,779 = 448,779 : x
  2. Step 2: Convert to fraction form
    305,270/448,779 = 448,779/x
  3. Step 3: Cross multiply
    305,270x = 448,779 × 448,779
  4. Step 4: Simplify right side
    305,270x = 201,402,590,841
  5. Step 5: Solve for x
    x = 201,402,590,841/305,270
  6. Step 6: Final answer
    x = 659,752.32

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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.