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Finding the Third Proportional to 217,871,215 and 470,172,641

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Solution

The third proportional to 217,871,215 and 470,172,641 is: 1,014,646,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871,215 : 470,172,641 = 470,172,641 : x
  2. Step 2: Convert to fraction form
    217,871,215/470,172,641 = 470,172,641/x
  3. Step 3: Cross multiply
    217,871,215x = 470,172,641 × 470,172,641
  4. Step 4: Simplify right side
    217,871,215x = 221,062,312,344,914,880
  5. Step 5: Solve for x
    x = 221,062,312,344,914,880/217,871,215
  6. Step 6: Final answer
    x = 1,014,646,713.86

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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.