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Finding the Third Proportional to 146,430 and 318,618

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Solution

The third proportional to 146,430 and 318,618 is: 693,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,430 : 318,618 = 318,618 : x
  2. Step 2: Convert to fraction form
    146,430/318,618 = 318,618/x
  3. Step 3: Cross multiply
    146,430x = 318,618 × 318,618
  4. Step 4: Simplify right side
    146,430x = 101,517,429,924
  5. Step 5: Solve for x
    x = 101,517,429,924/146,430
  6. Step 6: Final answer
    x = 693,283.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.