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Finding the Third Proportional to 142,951.50 and 310,802.91

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Solution

The third proportional to 142,951.50 and 310,802.91 is: 675,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951.50 : 310,802.91 = 310,802.91 : x
  2. Step 2: Convert to fraction form
    142,951.50/310,802.91 = 310,802.91/x
  3. Step 3: Cross multiply
    142,951.50x = 310,802.91 × 310,802.91
  4. Step 4: Simplify right side
    142,951.50x = 96,598,446,533.45
  5. Step 5: Solve for x
    x = 96,598,446,533.45/142,951.50
  6. Step 6: Final answer
    x = 675,742.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.