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Finding the Third Proportional to 988,480 and 2,158,240

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Solution

The third proportional to 988,480 and 2,158,240 is: 4,712,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,480 : 2,158,240 = 2,158,240 : x
  2. Step 2: Convert to fraction form
    988,480/2,158,240 = 2,158,240/x
  3. Step 3: Cross multiply
    988,480x = 2,158,240 × 2,158,240
  4. Step 4: Simplify right side
    988,480x = 4,657,999,897,600
  5. Step 5: Solve for x
    x = 4,657,999,897,600/988,480
  6. Step 6: Final answer
    x = 4,712,285.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.