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Finding the Third Proportional to 65,480 and 140,518

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Solution

The third proportional to 65,480 and 140,518 is: 301,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,480 : 140,518 = 140,518 : x
  2. Step 2: Convert to fraction form
    65,480/140,518 = 140,518/x
  3. Step 3: Cross multiply
    65,480x = 140,518 × 140,518
  4. Step 4: Simplify right side
    65,480x = 19,745,308,324
  5. Step 5: Solve for x
    x = 19,745,308,324/65,480
  6. Step 6: Final answer
    x = 301,547.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.