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Finding the Third Proportional to 210,545,160.75 and 469,501,476.75

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Solution

The third proportional to 210,545,160.75 and 469,501,476.75 is: 1,046,956,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,545,160.75 : 469,501,476.75 = 469,501,476.75 : x
  2. Step 2: Convert to fraction form
    210,545,160.75/469,501,476.75 = 469,501,476.75/x
  3. Step 3: Cross multiply
    210,545,160.75x = 469,501,476.75 × 469,501,476.75
  4. Step 4: Simplify right side
    210,545,160.75x = 220,431,636,670,430,784
  5. Step 5: Solve for x
    x = 220,431,636,670,430,784/210,545,160.75
  6. Step 6: Final answer
    x = 1,046,956,557.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.