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Finding the Third Proportional to 40,032,421 and 87,405,385

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Solution

The third proportional to 40,032,421 and 87,405,385 is: 190,837,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032,421 : 87,405,385 = 87,405,385 : x
  2. Step 2: Convert to fraction form
    40,032,421/87,405,385 = 87,405,385/x
  3. Step 3: Cross multiply
    40,032,421x = 87,405,385 × 87,405,385
  4. Step 4: Simplify right side
    40,032,421x = 7,639,701,326,998,225
  5. Step 5: Solve for x
    x = 7,639,701,326,998,225/40,032,421
  6. Step 6: Final answer
    x = 190,837,854.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.