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Finding the Third Proportional to 66,818,784 and 145,909,824

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Solution

The third proportional to 66,818,784 and 145,909,824 is: 318,618,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,818,784 : 145,909,824 = 145,909,824 : x
  2. Step 2: Convert to fraction form
    66,818,784/145,909,824 = 145,909,824/x
  3. Step 3: Cross multiply
    66,818,784x = 145,909,824 × 145,909,824
  4. Step 4: Simplify right side
    66,818,784x = 21,289,676,739,710,976
  5. Step 5: Solve for x
    x = 21,289,676,739,710,976/66,818,784
  6. Step 6: Final answer
    x = 318,618,140.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.