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Finding the Third Proportional to 313,071 and 472,511

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Solution

The third proportional to 313,071 and 472,511 is: 713,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,071 : 472,511 = 472,511 : x
  2. Step 2: Convert to fraction form
    313,071/472,511 = 472,511/x
  3. Step 3: Cross multiply
    313,071x = 472,511 × 472,511
  4. Step 4: Simplify right side
    313,071x = 223,266,645,121
  5. Step 5: Solve for x
    x = 223,266,645,121/313,071
  6. Step 6: Final answer
    x = 713,150.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.