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Finding the Third Proportional to 125,543 and 259,776

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Solution

The third proportional to 125,543 and 259,776 is: 537,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,543 : 259,776 = 259,776 : x
  2. Step 2: Convert to fraction form
    125,543/259,776 = 259,776/x
  3. Step 3: Cross multiply
    125,543x = 259,776 × 259,776
  4. Step 4: Simplify right side
    125,543x = 67,483,570,176
  5. Step 5: Solve for x
    x = 67,483,570,176/125,543
  6. Step 6: Final answer
    x = 537,533.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.