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Finding the Third Proportional to 387,124.31 and 830,315.81

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Solution

The third proportional to 387,124.31 and 830,315.81 is: 1,780,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,124.31 : 830,315.81 = 830,315.81 : x
  2. Step 2: Convert to fraction form
    387,124.31/830,315.81 = 830,315.81/x
  3. Step 3: Cross multiply
    387,124.31x = 830,315.81 × 830,315.81
  4. Step 4: Simplify right side
    387,124.31x = 689,424,348,487.54
  5. Step 5: Solve for x
    x = 689,424,348,487.54/387,124.31
  6. Step 6: Final answer
    x = 1,780,886.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.