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Finding the Third Proportional to 7,719,428 and 11,354,609

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Solution

The third proportional to 7,719,428 and 11,354,609 is: 16,701,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,428 : 11,354,609 = 11,354,609 : x
  2. Step 2: Convert to fraction form
    7,719,428/11,354,609 = 11,354,609/x
  3. Step 3: Cross multiply
    7,719,428x = 11,354,609 × 11,354,609
  4. Step 4: Simplify right side
    7,719,428x = 128,927,145,542,881
  5. Step 5: Solve for x
    x = 128,927,145,542,881/7,719,428
  6. Step 6: Final answer
    x = 16,701,644.93

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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.