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Finding the Third Proportional to 8,386,920 and 18,344,106

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Solution

The third proportional to 8,386,920 and 18,344,106 is: 40,122,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,920 : 18,344,106 = 18,344,106 : x
  2. Step 2: Convert to fraction form
    8,386,920/18,344,106 = 18,344,106/x
  3. Step 3: Cross multiply
    8,386,920x = 18,344,106 × 18,344,106
  4. Step 4: Simplify right side
    8,386,920x = 336,506,224,939,236
  5. Step 5: Solve for x
    x = 336,506,224,939,236/8,386,920
  6. Step 6: Final answer
    x = 40,122,741.71

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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.