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Finding the Third Proportional to 273,618 and 420,309

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Solution

The third proportional to 273,618 and 420,309 is: 645,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,618 : 420,309 = 420,309 : x
  2. Step 2: Convert to fraction form
    273,618/420,309 = 420,309/x
  3. Step 3: Cross multiply
    273,618x = 420,309 × 420,309
  4. Step 4: Simplify right side
    273,618x = 176,659,655,481
  5. Step 5: Solve for x
    x = 176,659,655,481/273,618
  6. Step 6: Final answer
    x = 645,643.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.