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Finding the Third Proportional to 221,377 and 310,641

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Solution

The third proportional to 221,377 and 310,641 is: 435,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,377 : 310,641 = 310,641 : x
  2. Step 2: Convert to fraction form
    221,377/310,641 = 310,641/x
  3. Step 3: Cross multiply
    221,377x = 310,641 × 310,641
  4. Step 4: Simplify right side
    221,377x = 96,497,830,881
  5. Step 5: Solve for x
    x = 96,497,830,881/221,377
  6. Step 6: Final answer
    x = 435,898.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.