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Finding the Third Proportional to 179,690 and 278,618

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Solution

The third proportional to 179,690 and 278,618 is: 432,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,690 : 278,618 = 278,618 : x
  2. Step 2: Convert to fraction form
    179,690/278,618 = 278,618/x
  3. Step 3: Cross multiply
    179,690x = 278,618 × 278,618
  4. Step 4: Simplify right side
    179,690x = 77,627,989,924
  5. Step 5: Solve for x
    x = 77,627,989,924/179,690
  6. Step 6: Final answer
    x = 432,010.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.