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Finding the Third Proportional to 687,502 and 1,480,321

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Solution

The third proportional to 687,502 and 1,480,321 is: 3,187,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,502 : 1,480,321 = 1,480,321 : x
  2. Step 2: Convert to fraction form
    687,502/1,480,321 = 1,480,321/x
  3. Step 3: Cross multiply
    687,502x = 1,480,321 × 1,480,321
  4. Step 4: Simplify right side
    687,502x = 2,191,350,263,041
  5. Step 5: Solve for x
    x = 2,191,350,263,041/687,502
  6. Step 6: Final answer
    x = 3,187,409.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.