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Finding the Third Proportional to 217,871,319 and 470,172,849

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Solution

The third proportional to 217,871,319 and 470,172,849 is: 1,014,647,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871,319 : 470,172,849 = 470,172,849 : x
  2. Step 2: Convert to fraction form
    217,871,319/470,172,849 = 470,172,849/x
  3. Step 3: Cross multiply
    217,871,319x = 470,172,849 × 470,172,849
  4. Step 4: Simplify right side
    217,871,319x = 221,062,507,936,776,800
  5. Step 5: Solve for x
    x = 221,062,507,936,776,800/217,871,319
  6. Step 6: Final answer
    x = 1,014,647,127.26

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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.