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Finding the Third Proportional to 121,280 and 255,127.50

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Solution

The third proportional to 121,280 and 255,127.50 is: 536,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,280 : 255,127.50 = 255,127.50 : x
  2. Step 2: Convert to fraction form
    121,280/255,127.50 = 255,127.50/x
  3. Step 3: Cross multiply
    121,280x = 255,127.50 × 255,127.50
  4. Step 4: Simplify right side
    121,280x = 65,090,041,256.25
  5. Step 5: Solve for x
    x = 65,090,041,256.25/121,280
  6. Step 6: Final answer
    x = 536,692.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.