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Finding the Third Proportional to 217,897.08 and 470,806.45

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Solution

The third proportional to 217,897.08 and 470,806.45 is: 1,017,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,897.08 : 470,806.45 = 470,806.45 : x
  2. Step 2: Convert to fraction form
    217,897.08/470,806.45 = 470,806.45/x
  3. Step 3: Cross multiply
    217,897.08x = 470,806.45 × 470,806.45
  4. Step 4: Simplify right side
    217,897.08x = 221,658,712,166.21
  5. Step 5: Solve for x
    x = 221,658,712,166.21/217,897.08
  6. Step 6: Final answer
    x = 1,017,263.35

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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.