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Finding the Third Proportional to 137,115 and 207,130.50

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Solution

The third proportional to 137,115 and 207,130.50 is: 312,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,115 : 207,130.50 = 207,130.50 : x
  2. Step 2: Convert to fraction form
    137,115/207,130.50 = 207,130.50/x
  3. Step 3: Cross multiply
    137,115x = 207,130.50 × 207,130.50
  4. Step 4: Simplify right side
    137,115x = 42,903,044,030.25
  5. Step 5: Solve for x
    x = 42,903,044,030.25/137,115
  6. Step 6: Final answer
    x = 312,898.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.