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Finding the Third Proportional to 156,280 and 240,905

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Solution

The third proportional to 156,280 and 240,905 is: 371,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,280 : 240,905 = 240,905 : x
  2. Step 2: Convert to fraction form
    156,280/240,905 = 240,905/x
  3. Step 3: Cross multiply
    156,280x = 240,905 × 240,905
  4. Step 4: Simplify right side
    156,280x = 58,035,219,025
  5. Step 5: Solve for x
    x = 58,035,219,025/156,280
  6. Step 6: Final answer
    x = 371,354.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.