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Finding the Third Proportional to 869,011 and 1,272,407.25

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Solution

The third proportional to 869,011 and 1,272,407.25 is: 1,863,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,011 : 1,272,407.25 = 1,272,407.25 : x
  2. Step 2: Convert to fraction form
    869,011/1,272,407.25 = 1,272,407.25/x
  3. Step 3: Cross multiply
    869,011x = 1,272,407.25 × 1,272,407.25
  4. Step 4: Simplify right side
    869,011x = 1,619,020,209,852.56
  5. Step 5: Solve for x
    x = 1,619,020,209,852.56/869,011
  6. Step 6: Final answer
    x = 1,863,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.