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Finding the Third Proportional to 89,492,326,555 and 193,880,132,370

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Solution

The third proportional to 89,492,326,555 and 193,880,132,370 is: 420,030,489,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,492,326,555 : 193,880,132,370 = 193,880,132,370 : x
  2. Step 2: Convert to fraction form
    89,492,326,555/193,880,132,370 = 193,880,132,370/x
  3. Step 3: Cross multiply
    89,492,326,555x = 193,880,132,370 × 193,880,132,370
  4. Step 4: Simplify right side
    89,492,326,555x = 37,589,505,727,808,720,076,800
  5. Step 5: Solve for x
    x = 37,589,505,727,808,720,076,800/89,492,326,555
  6. Step 6: Final answer
    x = 420,030,489,482.33

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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.