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Finding the Third Proportional to 215,637.75 and 470,434.50

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Solution

The third proportional to 215,637.75 and 470,434.50 is: 1,026,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,637.75 : 470,434.50 = 470,434.50 : x
  2. Step 2: Convert to fraction form
    215,637.75/470,434.50 = 470,434.50/x
  3. Step 3: Cross multiply
    215,637.75x = 470,434.50 × 470,434.50
  4. Step 4: Simplify right side
    215,637.75x = 221,308,618,790.25
  5. Step 5: Solve for x
    x = 221,308,618,790.25/215,637.75
  6. Step 6: Final answer
    x = 1,026,298.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.