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Finding the Third Proportional to 310,010.63 and 438,787.13

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Solution

The third proportional to 310,010.63 and 438,787.13 is: 621,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,010.63 : 438,787.13 = 438,787.13 : x
  2. Step 2: Convert to fraction form
    310,010.63/438,787.13 = 438,787.13/x
  3. Step 3: Cross multiply
    310,010.63x = 438,787.13 × 438,787.13
  4. Step 4: Simplify right side
    310,010.63x = 192,534,141,065.77
  5. Step 5: Solve for x
    x = 192,534,141,065.77/310,010.63
  6. Step 6: Final answer
    x = 621,056.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.