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Finding the Third Proportional to 306,247 and 450,618

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Solution

The third proportional to 306,247 and 450,618 is: 663,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,247 : 450,618 = 450,618 : x
  2. Step 2: Convert to fraction form
    306,247/450,618 = 450,618/x
  3. Step 3: Cross multiply
    306,247x = 450,618 × 450,618
  4. Step 4: Simplify right side
    306,247x = 203,056,581,924
  5. Step 5: Solve for x
    x = 203,056,581,924/306,247
  6. Step 6: Final answer
    x = 663,048.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.