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Finding the Third Proportional to 78,316,488 and 167,970,064

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Solution

The third proportional to 78,316,488 and 167,970,064 is: 360,255,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,488 : 167,970,064 = 167,970,064 : x
  2. Step 2: Convert to fraction form
    78,316,488/167,970,064 = 167,970,064/x
  3. Step 3: Cross multiply
    78,316,488x = 167,970,064 × 167,970,064
  4. Step 4: Simplify right side
    78,316,488x = 28,213,942,400,164,096
  5. Step 5: Solve for x
    x = 28,213,942,400,164,096/78,316,488
  6. Step 6: Final answer
    x = 360,255,459.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.