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Finding the Third Proportional to 155,070 and 245,951

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Solution

The third proportional to 155,070 and 245,951 is: 390,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,070 : 245,951 = 245,951 : x
  2. Step 2: Convert to fraction form
    155,070/245,951 = 245,951/x
  3. Step 3: Cross multiply
    155,070x = 245,951 × 245,951
  4. Step 4: Simplify right side
    155,070x = 60,491,894,401
  5. Step 5: Solve for x
    x = 60,491,894,401/155,070
  6. Step 6: Final answer
    x = 390,094.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.