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Finding the Third Proportional to 424,051.31 and 623,619.56

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Solution

The third proportional to 424,051.31 and 623,619.56 is: 917,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,051.31 : 623,619.56 = 623,619.56 : x
  2. Step 2: Convert to fraction form
    424,051.31/623,619.56 = 623,619.56/x
  3. Step 3: Cross multiply
    424,051.31x = 623,619.56 × 623,619.56
  4. Step 4: Simplify right side
    424,051.31x = 388,901,358,732.69
  5. Step 5: Solve for x
    x = 388,901,358,732.69/424,051.31
  6. Step 6: Final answer
    x = 917,109.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.