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Finding the Third Proportional to 61,170 and 90,618

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Solution

The third proportional to 61,170 and 90,618 is: 134,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,170 : 90,618 = 90,618 : x
  2. Step 2: Convert to fraction form
    61,170/90,618 = 90,618/x
  3. Step 3: Cross multiply
    61,170x = 90,618 × 90,618
  4. Step 4: Simplify right side
    61,170x = 8,211,621,924
  5. Step 5: Solve for x
    x = 8,211,621,924/61,170
  6. Step 6: Final answer
    x = 134,242.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.