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Finding the Third Proportional to 665,136 and 1,413,360

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Solution

The third proportional to 665,136 and 1,413,360 is: 3,003,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,136 : 1,413,360 = 1,413,360 : x
  2. Step 2: Convert to fraction form
    665,136/1,413,360 = 1,413,360/x
  3. Step 3: Cross multiply
    665,136x = 1,413,360 × 1,413,360
  4. Step 4: Simplify right side
    665,136x = 1,997,586,489,600
  5. Step 5: Solve for x
    x = 1,997,586,489,600/665,136
  6. Step 6: Final answer
    x = 3,003,275.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.