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Finding the Third Proportional to 290,730 and 643,636

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Solution

The third proportional to 290,730 and 643,636 is: 1,424,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,730 : 643,636 = 643,636 : x
  2. Step 2: Convert to fraction form
    290,730/643,636 = 643,636/x
  3. Step 3: Cross multiply
    290,730x = 643,636 × 643,636
  4. Step 4: Simplify right side
    290,730x = 414,267,300,496
  5. Step 5: Solve for x
    x = 414,267,300,496/290,730
  6. Step 6: Final answer
    x = 1,424,921.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.