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Finding the Third Proportional to 321,610 and 472,778

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Solution

The third proportional to 321,610 and 472,778 is: 695,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,610 : 472,778 = 472,778 : x
  2. Step 2: Convert to fraction form
    321,610/472,778 = 472,778/x
  3. Step 3: Cross multiply
    321,610x = 472,778 × 472,778
  4. Step 4: Simplify right side
    321,610x = 223,519,037,284
  5. Step 5: Solve for x
    x = 223,519,037,284/321,610
  6. Step 6: Final answer
    x = 695,000.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.