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Finding the Third Proportional to 219,332 and 330,618

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Solution

The third proportional to 219,332 and 330,618 is: 498,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,332 : 330,618 = 330,618 : x
  2. Step 2: Convert to fraction form
    219,332/330,618 = 330,618/x
  3. Step 3: Cross multiply
    219,332x = 330,618 × 330,618
  4. Step 4: Simplify right side
    219,332x = 109,308,261,924
  5. Step 5: Solve for x
    x = 109,308,261,924/219,332
  6. Step 6: Final answer
    x = 498,368.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.