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Finding the Third Proportional to 455,228 and 714,018

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Solution

The third proportional to 455,228 and 714,018 is: 1,119,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,228 : 714,018 = 714,018 : x
  2. Step 2: Convert to fraction form
    455,228/714,018 = 714,018/x
  3. Step 3: Cross multiply
    455,228x = 714,018 × 714,018
  4. Step 4: Simplify right side
    455,228x = 509,821,704,324
  5. Step 5: Solve for x
    x = 509,821,704,324/455,228
  6. Step 6: Final answer
    x = 1,119,926.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.