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Finding the Third Proportional to 251,140.50 and 357,878.25

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Solution

The third proportional to 251,140.50 and 357,878.25 is: 509,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,140.50 : 357,878.25 = 357,878.25 : x
  2. Step 2: Convert to fraction form
    251,140.50/357,878.25 = 357,878.25/x
  3. Step 3: Cross multiply
    251,140.50x = 357,878.25 × 357,878.25
  4. Step 4: Simplify right side
    251,140.50x = 128,076,841,823.06
  5. Step 5: Solve for x
    x = 128,076,841,823.06/251,140.50
  6. Step 6: Final answer
    x = 509,980.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.