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Finding the Third Proportional to 9,681,748 and 20,857,280

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Solution

The third proportional to 9,681,748 and 20,857,280 is: 44,932,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681,748 : 20,857,280 = 20,857,280 : x
  2. Step 2: Convert to fraction form
    9,681,748/20,857,280 = 20,857,280/x
  3. Step 3: Cross multiply
    9,681,748x = 20,857,280 × 20,857,280
  4. Step 4: Simplify right side
    9,681,748x = 435,026,128,998,400
  5. Step 5: Solve for x
    x = 435,026,128,998,400/9,681,748
  6. Step 6: Final answer
    x = 44,932,601.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.