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Finding the Third Proportional to 55,854 and 78,130.13

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Solution

The third proportional to 55,854 and 78,130.13 is: 109,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854 : 78,130.13 = 78,130.13 : x
  2. Step 2: Convert to fraction form
    55,854/78,130.13 = 78,130.13/x
  3. Step 3: Cross multiply
    55,854x = 78,130.13 × 78,130.13
  4. Step 4: Simplify right side
    55,854x = 6,104,316,432.52
  5. Step 5: Solve for x
    x = 6,104,316,432.52/55,854
  6. Step 6: Final answer
    x = 109,290.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.