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Finding the Third Proportional to 41,249,440 and 90,431,128

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Solution

The third proportional to 41,249,440 and 90,431,128 is: 198,252,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,249,440 : 90,431,128 = 90,431,128 : x
  2. Step 2: Convert to fraction form
    41,249,440/90,431,128 = 90,431,128/x
  3. Step 3: Cross multiply
    41,249,440x = 90,431,128 × 90,431,128
  4. Step 4: Simplify right side
    41,249,440x = 8,177,788,911,352,384
  5. Step 5: Solve for x
    x = 8,177,788,911,352,384/41,249,440
  6. Step 6: Final answer
    x = 198,252,119.58

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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.