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Finding the Third Proportional to 81,868,506 and 179,118,910

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Solution

The third proportional to 81,868,506 and 179,118,910 is: 391,891,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868,506 : 179,118,910 = 179,118,910 : x
  2. Step 2: Convert to fraction form
    81,868,506/179,118,910 = 179,118,910/x
  3. Step 3: Cross multiply
    81,868,506x = 179,118,910 × 179,118,910
  4. Step 4: Simplify right side
    81,868,506x = 32,083,583,919,588,100
  5. Step 5: Solve for x
    x = 32,083,583,919,588,100/81,868,506
  6. Step 6: Final answer
    x = 391,891,650.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.