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Finding the Third Proportional to 10,497,124.13 and 16,431,325.88

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Solution

The third proportional to 10,497,124.13 and 16,431,325.88 is: 25,720,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,124.13 : 16,431,325.88 = 16,431,325.88 : x
  2. Step 2: Convert to fraction form
    10,497,124.13/16,431,325.88 = 16,431,325.88/x
  3. Step 3: Cross multiply
    10,497,124.13x = 16,431,325.88 × 16,431,325.88
  4. Step 4: Simplify right side
    10,497,124.13x = 269,988,470,010,444.50
  5. Step 5: Solve for x
    x = 269,988,470,010,444.50/10,497,124.13
  6. Step 6: Final answer
    x = 25,720,232.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.