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Finding the Third Proportional to 202,412,111.50 and 310,983,838

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Solution

The third proportional to 202,412,111.50 and 310,983,838 is: 477,792,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,412,111.50 : 310,983,838 = 310,983,838 : x
  2. Step 2: Convert to fraction form
    202,412,111.50/310,983,838 = 310,983,838/x
  3. Step 3: Cross multiply
    202,412,111.50x = 310,983,838 × 310,983,838
  4. Step 4: Simplify right side
    202,412,111.50x = 96,710,947,497,210,240
  5. Step 5: Solve for x
    x = 96,710,947,497,210,240/202,412,111.50
  6. Step 6: Final answer
    x = 477,792,296.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.