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Finding the Third Proportional to 315,662 and 425,297

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Solution

The third proportional to 315,662 and 425,297 is: 573,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,662 : 425,297 = 425,297 : x
  2. Step 2: Convert to fraction form
    315,662/425,297 = 425,297/x
  3. Step 3: Cross multiply
    315,662x = 425,297 × 425,297
  4. Step 4: Simplify right side
    315,662x = 180,877,538,209
  5. Step 5: Solve for x
    x = 180,877,538,209/315,662
  6. Step 6: Final answer
    x = 573,010.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.