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Finding the Third Proportional to 175,428 and 256,580.50

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Solution

The third proportional to 175,428 and 256,580.50 is: 375,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,428 : 256,580.50 = 256,580.50 : x
  2. Step 2: Convert to fraction form
    175,428/256,580.50 = 256,580.50/x
  3. Step 3: Cross multiply
    175,428x = 256,580.50 × 256,580.50
  4. Step 4: Simplify right side
    175,428x = 65,833,552,980.25
  5. Step 5: Solve for x
    x = 65,833,552,980.25/175,428
  6. Step 6: Final answer
    x = 375,273.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.