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Finding the Third Proportional to 346,278 and 756,636

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Solution

The third proportional to 346,278 and 756,636 is: 1,653,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,278 : 756,636 = 756,636 : x
  2. Step 2: Convert to fraction form
    346,278/756,636 = 756,636/x
  3. Step 3: Cross multiply
    346,278x = 756,636 × 756,636
  4. Step 4: Simplify right side
    346,278x = 572,498,036,496
  5. Step 5: Solve for x
    x = 572,498,036,496/346,278
  6. Step 6: Final answer
    x = 1,653,290.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.