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Finding the Third Proportional to 872,609 and 1,280,185

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Solution

The third proportional to 872,609 and 1,280,185 is: 1,878,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,609 : 1,280,185 = 1,280,185 : x
  2. Step 2: Convert to fraction form
    872,609/1,280,185 = 1,280,185/x
  3. Step 3: Cross multiply
    872,609x = 1,280,185 × 1,280,185
  4. Step 4: Simplify right side
    872,609x = 1,638,873,634,225
  5. Step 5: Solve for x
    x = 1,638,873,634,225/872,609
  6. Step 6: Final answer
    x = 1,878,130.57

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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.