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Finding the Third Proportional to 422,097,993 and 916,857,763.50

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Solution

The third proportional to 422,097,993 and 916,857,763.50 is: 1,991,547,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,097,993 : 916,857,763.50 = 916,857,763.50 : x
  2. Step 2: Convert to fraction form
    422,097,993/916,857,763.50 = 916,857,763.50/x
  3. Step 3: Cross multiply
    422,097,993x = 916,857,763.50 × 916,857,763.50
  4. Step 4: Simplify right side
    422,097,993x = 840,628,158,490,221,952
  5. Step 5: Solve for x
    x = 840,628,158,490,221,952/422,097,993
  6. Step 6: Final answer
    x = 1,991,547,395.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.