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Finding the Third Proportional to 219,070.50 and 319,987.50

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Solution

The third proportional to 219,070.50 and 319,987.50 is: 467,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,070.50 : 319,987.50 = 319,987.50 : x
  2. Step 2: Convert to fraction form
    219,070.50/319,987.50 = 319,987.50/x
  3. Step 3: Cross multiply
    219,070.50x = 319,987.50 × 319,987.50
  4. Step 4: Simplify right side
    219,070.50x = 102,392,000,156.25
  5. Step 5: Solve for x
    x = 102,392,000,156.25/219,070.50
  6. Step 6: Final answer
    x = 467,392.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.