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Finding the Third Proportional to 213,706,398 and 338,669,301

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Solution

The third proportional to 213,706,398 and 338,669,301 is: 536,703,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706,398 : 338,669,301 = 338,669,301 : x
  2. Step 2: Convert to fraction form
    213,706,398/338,669,301 = 338,669,301/x
  3. Step 3: Cross multiply
    213,706,398x = 338,669,301 × 338,669,301
  4. Step 4: Simplify right side
    213,706,398x = 114,696,895,439,828,608
  5. Step 5: Solve for x
    x = 114,696,895,439,828,608/213,706,398
  6. Step 6: Final answer
    x = 536,703,142.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.