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Finding the Third Proportional to 19,031,780 and 27,130,494

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Solution

The third proportional to 19,031,780 and 27,130,494 is: 38,675,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031,780 : 27,130,494 = 27,130,494 : x
  2. Step 2: Convert to fraction form
    19,031,780/27,130,494 = 27,130,494/x
  3. Step 3: Cross multiply
    19,031,780x = 27,130,494 × 27,130,494
  4. Step 4: Simplify right side
    19,031,780x = 736,063,704,684,036
  5. Step 5: Solve for x
    x = 736,063,704,684,036/19,031,780
  6. Step 6: Final answer
    x = 38,675,505.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.