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Finding the Third Proportional to 146,407.50 and 319,666.50

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Solution

The third proportional to 146,407.50 and 319,666.50 is: 697,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,407.50 : 319,666.50 = 319,666.50 : x
  2. Step 2: Convert to fraction form
    146,407.50/319,666.50 = 319,666.50/x
  3. Step 3: Cross multiply
    146,407.50x = 319,666.50 × 319,666.50
  4. Step 4: Simplify right side
    146,407.50x = 102,186,671,222.25
  5. Step 5: Solve for x
    x = 102,186,671,222.25/146,407.50
  6. Step 6: Final answer
    x = 697,960.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.