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Finding the Third Proportional to 115,391 and 242,445

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Solution

The third proportional to 115,391 and 242,445 is: 509,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,391 : 242,445 = 242,445 : x
  2. Step 2: Convert to fraction form
    115,391/242,445 = 242,445/x
  3. Step 3: Cross multiply
    115,391x = 242,445 × 242,445
  4. Step 4: Simplify right side
    115,391x = 58,779,578,025
  5. Step 5: Solve for x
    x = 58,779,578,025/115,391
  6. Step 6: Final answer
    x = 509,394.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.