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Finding the Third Proportional to 13,035,270 and 19,720,644

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Solution

The third proportional to 13,035,270 and 19,720,644 is: 29,834,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035,270 : 19,720,644 = 19,720,644 : x
  2. Step 2: Convert to fraction form
    13,035,270/19,720,644 = 19,720,644/x
  3. Step 3: Cross multiply
    13,035,270x = 19,720,644 × 19,720,644
  4. Step 4: Simplify right side
    13,035,270x = 388,903,799,774,736
  5. Step 5: Solve for x
    x = 388,903,799,774,736/13,035,270
  6. Step 6: Final answer
    x = 29,834,732.98

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Why These Related Problems?

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