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Finding the Third Proportional to 217,897.88 and 470,808.19

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Solution

The third proportional to 217,897.88 and 470,808.19 is: 1,017,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,897.88 : 470,808.19 = 470,808.19 : x
  2. Step 2: Convert to fraction form
    217,897.88/470,808.19 = 470,808.19/x
  3. Step 3: Cross multiply
    217,897.88x = 470,808.19 × 470,808.19
  4. Step 4: Simplify right side
    217,897.88x = 221,660,349,417.04
  5. Step 5: Solve for x
    x = 221,660,349,417.04/217,897.88
  6. Step 6: Final answer
    x = 1,017,267.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.