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Finding the Third Proportional to 415,906 and 579,480

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Solution

The third proportional to 415,906 and 579,480 is: 807,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,906 : 579,480 = 579,480 : x
  2. Step 2: Convert to fraction form
    415,906/579,480 = 579,480/x
  3. Step 3: Cross multiply
    415,906x = 579,480 × 579,480
  4. Step 4: Simplify right side
    415,906x = 335,797,070,400
  5. Step 5: Solve for x
    x = 335,797,070,400/415,906
  6. Step 6: Final answer
    x = 807,386.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.