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Finding the Third Proportional to 243,810 and 365,715

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Solution

The third proportional to 243,810 and 365,715 is: 548,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,810 : 365,715 = 365,715 : x
  2. Step 2: Convert to fraction form
    243,810/365,715 = 365,715/x
  3. Step 3: Cross multiply
    243,810x = 365,715 × 365,715
  4. Step 4: Simplify right side
    243,810x = 133,747,461,225
  5. Step 5: Solve for x
    x = 133,747,461,225/243,810
  6. Step 6: Final answer
    x = 548,572.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.