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Finding the Third Proportional to 140,312.25 and 209,914.88

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Solution

The third proportional to 140,312.25 and 209,914.88 is: 314,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,312.25 : 209,914.88 = 209,914.88 : x
  2. Step 2: Convert to fraction form
    140,312.25/209,914.88 = 209,914.88/x
  3. Step 3: Cross multiply
    140,312.25x = 209,914.88 × 209,914.88
  4. Step 4: Simplify right side
    140,312.25x = 44,064,254,746.27
  5. Step 5: Solve for x
    x = 44,064,254,746.27/140,312.25
  6. Step 6: Final answer
    x = 314,044.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.