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Finding the Third Proportional to 86,875.13 and 138,743.06

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Solution

The third proportional to 86,875.13 and 138,743.06 is: 221,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,875.13 : 138,743.06 = 138,743.06 : x
  2. Step 2: Convert to fraction form
    86,875.13/138,743.06 = 138,743.06/x
  3. Step 3: Cross multiply
    86,875.13x = 138,743.06 × 138,743.06
  4. Step 4: Simplify right side
    86,875.13x = 19,249,637,391.88
  5. Step 5: Solve for x
    x = 19,249,637,391.88/86,875.13
  6. Step 6: Final answer
    x = 221,578.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.