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Finding the Third Proportional to 217,620,187 and 459,802,813

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Solution

The third proportional to 217,620,187 and 459,802,813 is: 971,502,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,620,187 : 459,802,813 = 459,802,813 : x
  2. Step 2: Convert to fraction form
    217,620,187/459,802,813 = 459,802,813/x
  3. Step 3: Cross multiply
    217,620,187x = 459,802,813 × 459,802,813
  4. Step 4: Simplify right side
    217,620,187x = 211,418,626,842,712,960
  5. Step 5: Solve for x
    x = 211,418,626,842,712,960/217,620,187
  6. Step 6: Final answer
    x = 971,502,826.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.