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Finding the Third Proportional to 78,110,069,010 and 169,535,923,720

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Solution

The third proportional to 78,110,069,010 and 169,535,923,720 is: 367,973,422,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,110,069,010 : 169,535,923,720 = 169,535,923,720 : x
  2. Step 2: Convert to fraction form
    78,110,069,010/169,535,923,720 = 169,535,923,720/x
  3. Step 3: Cross multiply
    78,110,069,010x = 169,535,923,720 × 169,535,923,720
  4. Step 4: Simplify right side
    78,110,069,010x = 28,742,429,431,593,659,531,264
  5. Step 5: Solve for x
    x = 28,742,429,431,593,659,531,264/78,110,069,010
  6. Step 6: Final answer
    x = 367,973,422,580.31

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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.