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Finding the Third Proportional to 422,794,158 and 646,827,721.50

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Solution

The third proportional to 422,794,158 and 646,827,721.50 is: 989,573,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,794,158 : 646,827,721.50 = 646,827,721.50 : x
  2. Step 2: Convert to fraction form
    422,794,158/646,827,721.50 = 646,827,721.50/x
  3. Step 3: Cross multiply
    422,794,158x = 646,827,721.50 × 646,827,721.50
  4. Step 4: Simplify right side
    422,794,158x = 418,386,101,300,881,536
  5. Step 5: Solve for x
    x = 418,386,101,300,881,536/422,794,158
  6. Step 6: Final answer
    x = 989,573,988.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.