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Finding the Third Proportional to 315,175 and 471,649

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Solution

The third proportional to 315,175 and 471,649 is: 705,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175 : 471,649 = 471,649 : x
  2. Step 2: Convert to fraction form
    315,175/471,649 = 471,649/x
  3. Step 3: Cross multiply
    315,175x = 471,649 × 471,649
  4. Step 4: Simplify right side
    315,175x = 222,452,779,201
  5. Step 5: Solve for x
    x = 222,452,779,201/315,175
  6. Step 6: Final answer
    x = 705,807.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.