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Finding the Third Proportional to 9,148,908 and 13,417,729

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Solution

The third proportional to 9,148,908 and 13,417,729 is: 19,678,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,908 : 13,417,729 = 13,417,729 : x
  2. Step 2: Convert to fraction form
    9,148,908/13,417,729 = 13,417,729/x
  3. Step 3: Cross multiply
    9,148,908x = 13,417,729 × 13,417,729
  4. Step 4: Simplify right side
    9,148,908x = 180,035,451,517,441
  5. Step 5: Solve for x
    x = 180,035,451,517,441/9,148,908
  6. Step 6: Final answer
    x = 19,678,354.13

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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.