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Finding the Third Proportional to 486,618 and 774,894

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Solution

The third proportional to 486,618 and 774,894 is: 1,233,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,618 : 774,894 = 774,894 : x
  2. Step 2: Convert to fraction form
    486,618/774,894 = 774,894/x
  3. Step 3: Cross multiply
    486,618x = 774,894 × 774,894
  4. Step 4: Simplify right side
    486,618x = 600,460,711,236
  5. Step 5: Solve for x
    x = 600,460,711,236/486,618
  6. Step 6: Final answer
    x = 1,233,946.77

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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.