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Finding the Third Proportional to 217,871,223 and 470,172,657

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Solution

The third proportional to 217,871,223 and 470,172,657 is: 1,014,646,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871,223 : 470,172,657 = 470,172,657 : x
  2. Step 2: Convert to fraction form
    217,871,223/470,172,657 = 470,172,657/x
  3. Step 3: Cross multiply
    217,871,223x = 470,172,657 × 470,172,657
  4. Step 4: Simplify right side
    217,871,223x = 221,062,327,390,439,648
  5. Step 5: Solve for x
    x = 221,062,327,390,439,648/217,871,223
  6. Step 6: Final answer
    x = 1,014,646,745.66

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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.