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Finding the Third Proportional to 92,946 and 143,618

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Solution

The third proportional to 92,946 and 143,618 is: 221,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,946 : 143,618 = 143,618 : x
  2. Step 2: Convert to fraction form
    92,946/143,618 = 143,618/x
  3. Step 3: Cross multiply
    92,946x = 143,618 × 143,618
  4. Step 4: Simplify right side
    92,946x = 20,626,129,924
  5. Step 5: Solve for x
    x = 20,626,129,924/92,946
  6. Step 6: Final answer
    x = 221,915.20

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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.