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Finding the Third Proportional to 53,480 and 115,438

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Solution

The third proportional to 53,480 and 115,438 is: 249,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480 : 115,438 = 115,438 : x
  2. Step 2: Convert to fraction form
    53,480/115,438 = 115,438/x
  3. Step 3: Cross multiply
    53,480x = 115,438 × 115,438
  4. Step 4: Simplify right side
    53,480x = 13,325,931,844
  5. Step 5: Solve for x
    x = 13,325,931,844/53,480
  6. Step 6: Final answer
    x = 249,175.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.