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Finding the Third Proportional to 136,316 and 279,432

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Solution

The third proportional to 136,316 and 279,432 is: 572,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,316 : 279,432 = 279,432 : x
  2. Step 2: Convert to fraction form
    136,316/279,432 = 279,432/x
  3. Step 3: Cross multiply
    136,316x = 279,432 × 279,432
  4. Step 4: Simplify right side
    136,316x = 78,082,242,624
  5. Step 5: Solve for x
    x = 78,082,242,624/136,316
  6. Step 6: Final answer
    x = 572,803.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.