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Finding the Third Proportional to 422,794,236 and 646,827,853.50

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Solution

The third proportional to 422,794,236 and 646,827,853.50 is: 989,574,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,794,236 : 646,827,853.50 = 646,827,853.50 : x
  2. Step 2: Convert to fraction form
    422,794,236/646,827,853.50 = 646,827,853.50/x
  3. Step 3: Cross multiply
    422,794,236x = 646,827,853.50 × 646,827,853.50
  4. Step 4: Simplify right side
    422,794,236x = 418,386,272,063,417,472
  5. Step 5: Solve for x
    x = 418,386,272,063,417,472/422,794,236
  6. Step 6: Final answer
    x = 989,574,209.96

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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.