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Finding the Third Proportional to 219,465 and 480,807

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Solution

The third proportional to 219,465 and 480,807 is: 1,053,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,465 : 480,807 = 480,807 : x
  2. Step 2: Convert to fraction form
    219,465/480,807 = 480,807/x
  3. Step 3: Cross multiply
    219,465x = 480,807 × 480,807
  4. Step 4: Simplify right side
    219,465x = 231,175,371,249
  5. Step 5: Solve for x
    x = 231,175,371,249/219,465
  6. Step 6: Final answer
    x = 1,053,358.72

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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.