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Finding the Third Proportional to 180,382 and 243,355

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Solution

The third proportional to 180,382 and 243,355 is: 328,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,382 : 243,355 = 243,355 : x
  2. Step 2: Convert to fraction form
    180,382/243,355 = 243,355/x
  3. Step 3: Cross multiply
    180,382x = 243,355 × 243,355
  4. Step 4: Simplify right side
    180,382x = 59,221,656,025
  5. Step 5: Solve for x
    x = 59,221,656,025/180,382
  6. Step 6: Final answer
    x = 328,312.45

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Why These Related Problems?

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