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Finding the Third Proportional to 7,719,689 and 11,354,970

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Solution

The third proportional to 7,719,689 and 11,354,970 is: 16,702,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,689 : 11,354,970 = 11,354,970 : x
  2. Step 2: Convert to fraction form
    7,719,689/11,354,970 = 11,354,970/x
  3. Step 3: Cross multiply
    7,719,689x = 11,354,970 × 11,354,970
  4. Step 4: Simplify right side
    7,719,689x = 128,935,343,700,900
  5. Step 5: Solve for x
    x = 128,935,343,700,900/7,719,689
  6. Step 6: Final answer
    x = 16,702,142.24

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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.