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Finding the Third Proportional to 636,156 and 974,618

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Solution

The third proportional to 636,156 and 974,618 is: 1,493,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,156 : 974,618 = 974,618 : x
  2. Step 2: Convert to fraction form
    636,156/974,618 = 974,618/x
  3. Step 3: Cross multiply
    636,156x = 974,618 × 974,618
  4. Step 4: Simplify right side
    636,156x = 949,880,245,924
  5. Step 5: Solve for x
    x = 949,880,245,924/636,156
  6. Step 6: Final answer
    x = 1,493,156.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.