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Finding the Third Proportional to 310,158 and 671,841

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Solution

The third proportional to 310,158 and 671,841 is: 1,455,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,158 : 671,841 = 671,841 : x
  2. Step 2: Convert to fraction form
    310,158/671,841 = 671,841/x
  3. Step 3: Cross multiply
    310,158x = 671,841 × 671,841
  4. Step 4: Simplify right side
    310,158x = 451,370,329,281
  5. Step 5: Solve for x
    x = 451,370,329,281/310,158
  6. Step 6: Final answer
    x = 1,455,291.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.