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Finding the Third Proportional to 108,489,014 and 163,742,398

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Solution

The third proportional to 108,489,014 and 163,742,398 is: 247,136,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,489,014 : 163,742,398 = 163,742,398 : x
  2. Step 2: Convert to fraction form
    108,489,014/163,742,398 = 163,742,398/x
  3. Step 3: Cross multiply
    108,489,014x = 163,742,398 × 163,742,398
  4. Step 4: Simplify right side
    108,489,014x = 26,811,572,902,790,404
  5. Step 5: Solve for x
    x = 26,811,572,902,790,404/108,489,014
  6. Step 6: Final answer
    x = 247,136,294.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.