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Finding the Third Proportional to 358,238 and 785,407

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Solution

The third proportional to 358,238 and 785,407 is: 1,721,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,238 : 785,407 = 785,407 : x
  2. Step 2: Convert to fraction form
    358,238/785,407 = 785,407/x
  3. Step 3: Cross multiply
    358,238x = 785,407 × 785,407
  4. Step 4: Simplify right side
    358,238x = 616,864,155,649
  5. Step 5: Solve for x
    x = 616,864,155,649/358,238
  6. Step 6: Final answer
    x = 1,721,939.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.