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Finding the Third Proportional to 239,447 and 348,640

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Solution

The third proportional to 239,447 and 348,640 is: 507,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,447 : 348,640 = 348,640 : x
  2. Step 2: Convert to fraction form
    239,447/348,640 = 348,640/x
  3. Step 3: Cross multiply
    239,447x = 348,640 × 348,640
  4. Step 4: Simplify right side
    239,447x = 121,549,849,600
  5. Step 5: Solve for x
    x = 121,549,849,600/239,447
  6. Step 6: Final answer
    x = 507,627.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.