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Finding the Third Proportional to 39,618 and 63,070

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Solution

The third proportional to 39,618 and 63,070 is: 100,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 63,070 = 63,070 : x
  2. Step 2: Convert to fraction form
    39,618/63,070 = 63,070/x
  3. Step 3: Cross multiply
    39,618x = 63,070 × 63,070
  4. Step 4: Simplify right side
    39,618x = 3,977,824,900
  5. Step 5: Solve for x
    x = 3,977,824,900/39,618
  6. Step 6: Final answer
    x = 100,404.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.