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Finding the Third Proportional to 409,338,763.50 and 890,398,006.50

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Solution

The third proportional to 409,338,763.50 and 890,398,006.50 is: 1,936,803,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,338,763.50 : 890,398,006.50 = 890,398,006.50 : x
  2. Step 2: Convert to fraction form
    409,338,763.50/890,398,006.50 = 890,398,006.50/x
  3. Step 3: Cross multiply
    409,338,763.50x = 890,398,006.50 × 890,398,006.50
  4. Step 4: Simplify right side
    409,338,763.50x = 792,808,609,979,174,016
  5. Step 5: Solve for x
    x = 792,808,609,979,174,016/409,338,763.50
  6. Step 6: Final answer
    x = 1,936,803,158.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.