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Finding the Third Proportional to 219,034 and 470,789

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Solution

The third proportional to 219,034 and 470,789 is: 1,011,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,034 : 470,789 = 470,789 : x
  2. Step 2: Convert to fraction form
    219,034/470,789 = 470,789/x
  3. Step 3: Cross multiply
    219,034x = 470,789 × 470,789
  4. Step 4: Simplify right side
    219,034x = 221,642,282,521
  5. Step 5: Solve for x
    x = 221,642,282,521/219,034
  6. Step 6: Final answer
    x = 1,011,908.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.