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Finding the Third Proportional to 200,255,020 and 415,857,842

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Solution

The third proportional to 200,255,020 and 415,857,842 is: 863,587,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255,020 : 415,857,842 = 415,857,842 : x
  2. Step 2: Convert to fraction form
    200,255,020/415,857,842 = 415,857,842/x
  3. Step 3: Cross multiply
    200,255,020x = 415,857,842 × 415,857,842
  4. Step 4: Simplify right side
    200,255,020x = 172,937,744,752,896,960
  5. Step 5: Solve for x
    x = 172,937,744,752,896,960/200,255,020
  6. Step 6: Final answer
    x = 863,587,563.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.