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Finding the Third Proportional to 290,472 and 607,548

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Solution

The third proportional to 290,472 and 607,548 is: 1,270,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472 : 607,548 = 607,548 : x
  2. Step 2: Convert to fraction form
    290,472/607,548 = 607,548/x
  3. Step 3: Cross multiply
    290,472x = 607,548 × 607,548
  4. Step 4: Simplify right side
    290,472x = 369,114,572,304
  5. Step 5: Solve for x
    x = 369,114,572,304/290,472
  6. Step 6: Final answer
    x = 1,270,740.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.