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Finding the Third Proportional to 78,617.25 and 124,547.63

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Solution

The third proportional to 78,617.25 and 124,547.63 is: 197,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,617.25 : 124,547.63 = 124,547.63 : x
  2. Step 2: Convert to fraction form
    78,617.25/124,547.63 = 124,547.63/x
  3. Step 3: Cross multiply
    78,617.25x = 124,547.63 × 124,547.63
  4. Step 4: Simplify right side
    78,617.25x = 15,512,110,893.14
  5. Step 5: Solve for x
    x = 15,512,110,893.14/78,617.25
  6. Step 6: Final answer
    x = 197,311.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.