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Finding the Third Proportional to 30,516 and 48,618

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Solution

The third proportional to 30,516 and 48,618 is: 77,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516 : 48,618 = 48,618 : x
  2. Step 2: Convert to fraction form
    30,516/48,618 = 48,618/x
  3. Step 3: Cross multiply
    30,516x = 48,618 × 48,618
  4. Step 4: Simplify right side
    30,516x = 2,363,709,924
  5. Step 5: Solve for x
    x = 2,363,709,924/30,516
  6. Step 6: Final answer
    x = 77,458.05

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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.