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Finding the Third Proportional to 8,415,690 and 18,406,020

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Solution

The third proportional to 8,415,690 and 18,406,020 is: 40,255,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,690 : 18,406,020 = 18,406,020 : x
  2. Step 2: Convert to fraction form
    8,415,690/18,406,020 = 18,406,020/x
  3. Step 3: Cross multiply
    8,415,690x = 18,406,020 × 18,406,020
  4. Step 4: Simplify right side
    8,415,690x = 338,781,572,240,400
  5. Step 5: Solve for x
    x = 338,781,572,240,400/8,415,690
  6. Step 6: Final answer
    x = 40,255,947.19

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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.