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Finding the Third Proportional to 450,618 and 713,439

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Solution

The third proportional to 450,618 and 713,439 is: 1,129,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,618 : 713,439 = 713,439 : x
  2. Step 2: Convert to fraction form
    450,618/713,439 = 713,439/x
  3. Step 3: Cross multiply
    450,618x = 713,439 × 713,439
  4. Step 4: Simplify right side
    450,618x = 508,995,206,721
  5. Step 5: Solve for x
    x = 508,995,206,721/450,618
  6. Step 6: Final answer
    x = 1,129,549.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.