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Finding the Third Proportional to 10,922,133 and 14,703,295.50

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Solution

The third proportional to 10,922,133 and 14,703,295.50 is: 19,793,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922,133 : 14,703,295.50 = 14,703,295.50 : x
  2. Step 2: Convert to fraction form
    10,922,133/14,703,295.50 = 14,703,295.50/x
  3. Step 3: Cross multiply
    10,922,133x = 14,703,295.50 × 14,703,295.50
  4. Step 4: Simplify right side
    10,922,133x = 216,186,898,560,320.25
  5. Step 5: Solve for x
    x = 216,186,898,560,320.25/10,922,133
  6. Step 6: Final answer
    x = 19,793,468.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.