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Finding the Third Proportional to 58,618 and 128,466

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Solution

The third proportional to 58,618 and 128,466 is: 281,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,618 : 128,466 = 128,466 : x
  2. Step 2: Convert to fraction form
    58,618/128,466 = 128,466/x
  3. Step 3: Cross multiply
    58,618x = 128,466 × 128,466
  4. Step 4: Simplify right side
    58,618x = 16,503,513,156
  5. Step 5: Solve for x
    x = 16,503,513,156/58,618
  6. Step 6: Final answer
    x = 281,543.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.