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Finding the Third Proportional to 243,060 and 380,421

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Solution

The third proportional to 243,060 and 380,421 is: 595,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,060 : 380,421 = 380,421 : x
  2. Step 2: Convert to fraction form
    243,060/380,421 = 380,421/x
  3. Step 3: Cross multiply
    243,060x = 380,421 × 380,421
  4. Step 4: Simplify right side
    243,060x = 144,720,137,241
  5. Step 5: Solve for x
    x = 144,720,137,241/243,060
  6. Step 6: Final answer
    x = 595,409.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.