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Finding the Third Proportional to 86,405,065 and 121,539,560

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Solution

The third proportional to 86,405,065 and 121,539,560 is: 170,960,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405,065 : 121,539,560 = 121,539,560 : x
  2. Step 2: Convert to fraction form
    86,405,065/121,539,560 = 121,539,560/x
  3. Step 3: Cross multiply
    86,405,065x = 121,539,560 × 121,539,560
  4. Step 4: Simplify right side
    86,405,065x = 14,771,864,644,993,600
  5. Step 5: Solve for x
    x = 14,771,864,644,993,600/86,405,065
  6. Step 6: Final answer
    x = 170,960,633.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.