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Finding the Third Proportional to 370,078 and 553,618

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Solution

The third proportional to 370,078 and 553,618 is: 828,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,078 : 553,618 = 553,618 : x
  2. Step 2: Convert to fraction form
    370,078/553,618 = 553,618/x
  3. Step 3: Cross multiply
    370,078x = 553,618 × 553,618
  4. Step 4: Simplify right side
    370,078x = 306,492,889,924
  5. Step 5: Solve for x
    x = 306,492,889,924/370,078
  6. Step 6: Final answer
    x = 828,184.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.