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Finding the Third Proportional to 360,618 and 558,363

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Solution

The third proportional to 360,618 and 558,363 is: 864,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,618 : 558,363 = 558,363 : x
  2. Step 2: Convert to fraction form
    360,618/558,363 = 558,363/x
  3. Step 3: Cross multiply
    360,618x = 558,363 × 558,363
  4. Step 4: Simplify right side
    360,618x = 311,769,239,769
  5. Step 5: Solve for x
    x = 311,769,239,769/360,618
  6. Step 6: Final answer
    x = 864,541.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.