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Finding the Third Proportional to 20,277,072 and 31,417,482

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Solution

The third proportional to 20,277,072 and 31,417,482 is: 48,678,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277,072 : 31,417,482 = 31,417,482 : x
  2. Step 2: Convert to fraction form
    20,277,072/31,417,482 = 31,417,482/x
  3. Step 3: Cross multiply
    20,277,072x = 31,417,482 × 31,417,482
  4. Step 4: Simplify right side
    20,277,072x = 987,058,175,220,324
  5. Step 5: Solve for x
    x = 987,058,175,220,324/20,277,072
  6. Step 6: Final answer
    x = 48,678,535.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.