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Finding the Third Proportional to 215,412.75 and 470,957.63

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Solution

The third proportional to 215,412.75 and 470,957.63 is: 1,029,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,412.75 : 470,957.63 = 470,957.63 : x
  2. Step 2: Convert to fraction form
    215,412.75/470,957.63 = 470,957.63/x
  3. Step 3: Cross multiply
    215,412.75x = 470,957.63 × 470,957.63
  4. Step 4: Simplify right side
    215,412.75x = 221,801,084,545.64
  5. Step 5: Solve for x
    x = 221,801,084,545.64/215,412.75
  6. Step 6: Final answer
    x = 1,029,656.25

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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.