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Finding the Third Proportional to 86,948.88 and 138,312.50

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Solution

The third proportional to 86,948.88 and 138,312.50 is: 220,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,948.88 : 138,312.50 = 138,312.50 : x
  2. Step 2: Convert to fraction form
    86,948.88/138,312.50 = 138,312.50/x
  3. Step 3: Cross multiply
    86,948.88x = 138,312.50 × 138,312.50
  4. Step 4: Simplify right side
    86,948.88x = 19,130,347,656.25
  5. Step 5: Solve for x
    x = 19,130,347,656.25/86,948.88
  6. Step 6: Final answer
    x = 220,018.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.