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Finding the Third Proportional to 280,781,323.50 and 438,169,966.50

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Solution

The third proportional to 280,781,323.50 and 438,169,966.50 is: 683,780,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,781,323.50 : 438,169,966.50 = 438,169,966.50 : x
  2. Step 2: Convert to fraction form
    280,781,323.50/438,169,966.50 = 438,169,966.50/x
  3. Step 3: Cross multiply
    280,781,323.50x = 438,169,966.50 × 438,169,966.50
  4. Step 4: Simplify right side
    280,781,323.50x = 191,992,919,542,611,136
  5. Step 5: Solve for x
    x = 191,992,919,542,611,136/280,781,323.50
  6. Step 6: Final answer
    x = 683,780,947.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.