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Finding the Third Proportional to 561,278 and 1,240,681

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Solution

The third proportional to 561,278 and 1,240,681 is: 2,742,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,278 : 1,240,681 = 1,240,681 : x
  2. Step 2: Convert to fraction form
    561,278/1,240,681 = 1,240,681/x
  3. Step 3: Cross multiply
    561,278x = 1,240,681 × 1,240,681
  4. Step 4: Simplify right side
    561,278x = 1,539,289,343,761
  5. Step 5: Solve for x
    x = 1,539,289,343,761/561,278
  6. Step 6: Final answer
    x = 2,742,472.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.