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Finding the Third Proportional to 53,103,986 and 80,144,490

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Solution

The third proportional to 53,103,986 and 80,144,490 is: 120,953,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103,986 : 80,144,490 = 80,144,490 : x
  2. Step 2: Convert to fraction form
    53,103,986/80,144,490 = 80,144,490/x
  3. Step 3: Cross multiply
    53,103,986x = 80,144,490 × 80,144,490
  4. Step 4: Simplify right side
    53,103,986x = 6,423,139,277,360,100
  5. Step 5: Solve for x
    x = 6,423,139,277,360,100/53,103,986
  6. Step 6: Final answer
    x = 120,953,995.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.