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Finding the Third Proportional to 40,429,431 and 66,010,634.50

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Solution

The third proportional to 40,429,431 and 66,010,634.50 is: 107,778,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429,431 : 66,010,634.50 = 66,010,634.50 : x
  2. Step 2: Convert to fraction form
    40,429,431/66,010,634.50 = 66,010,634.50/x
  3. Step 3: Cross multiply
    40,429,431x = 66,010,634.50 × 66,010,634.50
  4. Step 4: Simplify right side
    40,429,431x = 4,357,403,867,092,590
  5. Step 5: Solve for x
    x = 4,357,403,867,092,590/40,429,431
  6. Step 6: Final answer
    x = 107,778,016.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.