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Finding the Third Proportional to 30,681,381 and 66,229,806.75

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Solution

The third proportional to 30,681,381 and 66,229,806.75 is: 142,965,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,381 : 66,229,806.75 = 66,229,806.75 : x
  2. Step 2: Convert to fraction form
    30,681,381/66,229,806.75 = 66,229,806.75/x
  3. Step 3: Cross multiply
    30,681,381x = 66,229,806.75 × 66,229,806.75
  4. Step 4: Simplify right side
    30,681,381x = 4,386,387,302,142,345.50
  5. Step 5: Solve for x
    x = 4,386,387,302,142,345.50/30,681,381
  6. Step 6: Final answer
    x = 142,965,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.