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Finding the Third Proportional to 455,768 and 707,544

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Solution

The third proportional to 455,768 and 707,544 is: 1,098,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,768 : 707,544 = 707,544 : x
  2. Step 2: Convert to fraction form
    455,768/707,544 = 707,544/x
  3. Step 3: Cross multiply
    455,768x = 707,544 × 707,544
  4. Step 4: Simplify right side
    455,768x = 500,618,511,936
  5. Step 5: Solve for x
    x = 500,618,511,936/455,768
  6. Step 6: Final answer
    x = 1,098,406.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.