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Finding the Third Proportional to 13,509,882 and 19,907,487

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Solution

The third proportional to 13,509,882 and 19,907,487 is: 29,334,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509,882 : 19,907,487 = 19,907,487 : x
  2. Step 2: Convert to fraction form
    13,509,882/19,907,487 = 19,907,487/x
  3. Step 3: Cross multiply
    13,509,882x = 19,907,487 × 19,907,487
  4. Step 4: Simplify right side
    13,509,882x = 396,308,038,655,169
  5. Step 5: Solve for x
    x = 396,308,038,655,169/13,509,882
  6. Step 6: Final answer
    x = 29,334,678.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.