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Finding the Third Proportional to 130,838 and 291,280

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Solution

The third proportional to 130,838 and 291,280 is: 648,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,838 : 291,280 = 291,280 : x
  2. Step 2: Convert to fraction form
    130,838/291,280 = 291,280/x
  3. Step 3: Cross multiply
    130,838x = 291,280 × 291,280
  4. Step 4: Simplify right side
    130,838x = 84,844,038,400
  5. Step 5: Solve for x
    x = 84,844,038,400/130,838
  6. Step 6: Final answer
    x = 648,466.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.