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Finding the Third Proportional to 427,958 and 662,297

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Solution

The third proportional to 427,958 and 662,297 is: 1,024,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,958 : 662,297 = 662,297 : x
  2. Step 2: Convert to fraction form
    427,958/662,297 = 662,297/x
  3. Step 3: Cross multiply
    427,958x = 662,297 × 662,297
  4. Step 4: Simplify right side
    427,958x = 438,637,316,209
  5. Step 5: Solve for x
    x = 438,637,316,209/427,958
  6. Step 6: Final answer
    x = 1,024,954.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.