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Finding the Third Proportional to 358,119 and 558,971

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Solution

The third proportional to 358,119 and 558,971 is: 872,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,119 : 558,971 = 558,971 : x
  2. Step 2: Convert to fraction form
    358,119/558,971 = 558,971/x
  3. Step 3: Cross multiply
    358,119x = 558,971 × 558,971
  4. Step 4: Simplify right side
    358,119x = 312,448,578,841
  5. Step 5: Solve for x
    x = 312,448,578,841/358,119
  6. Step 6: Final answer
    x = 872,471.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.