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Finding the Third Proportional to 78,430.50 and 118,377

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Solution

The third proportional to 78,430.50 and 118,377 is: 178,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,430.50 : 118,377 = 118,377 : x
  2. Step 2: Convert to fraction form
    78,430.50/118,377 = 118,377/x
  3. Step 3: Cross multiply
    78,430.50x = 118,377 × 118,377
  4. Step 4: Simplify right side
    78,430.50x = 14,013,114,129
  5. Step 5: Solve for x
    x = 14,013,114,129/78,430.50
  6. Step 6: Final answer
    x = 178,669.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.