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Finding the Third Proportional to 156,980.81 and 340,547.63

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Solution

The third proportional to 156,980.81 and 340,547.63 is: 738,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980.81 : 340,547.63 = 340,547.63 : x
  2. Step 2: Convert to fraction form
    156,980.81/340,547.63 = 340,547.63/x
  3. Step 3: Cross multiply
    156,980.81x = 340,547.63 × 340,547.63
  4. Step 4: Simplify right side
    156,980.81x = 115,972,684,893.14
  5. Step 5: Solve for x
    x = 115,972,684,893.14/156,980.81
  6. Step 6: Final answer
    x = 738,769.81

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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.