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Finding the Third Proportional to 424,325.25 and 915,080.63

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Solution

The third proportional to 424,325.25 and 915,080.63 is: 1,973,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,325.25 : 915,080.63 = 915,080.63 : x
  2. Step 2: Convert to fraction form
    424,325.25/915,080.63 = 915,080.63/x
  3. Step 3: Cross multiply
    424,325.25x = 915,080.63 × 915,080.63
  4. Step 4: Simplify right side
    424,325.25x = 837,372,550,250.39
  5. Step 5: Solve for x
    x = 837,372,550,250.39/424,325.25
  6. Step 6: Final answer
    x = 1,973,421.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.