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Finding the Third Proportional to 287,962.50 and 426,276

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Solution

The third proportional to 287,962.50 and 426,276 is: 631,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,962.50 : 426,276 = 426,276 : x
  2. Step 2: Convert to fraction form
    287,962.50/426,276 = 426,276/x
  3. Step 3: Cross multiply
    287,962.50x = 426,276 × 426,276
  4. Step 4: Simplify right side
    287,962.50x = 181,711,228,176
  5. Step 5: Solve for x
    x = 181,711,228,176/287,962.50
  6. Step 6: Final answer
    x = 631,023.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.