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Finding the Third Proportional to 255,032.50 and 356,547.50

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Solution

The third proportional to 255,032.50 and 356,547.50 is: 498,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,032.50 : 356,547.50 = 356,547.50 : x
  2. Step 2: Convert to fraction form
    255,032.50/356,547.50 = 356,547.50/x
  3. Step 3: Cross multiply
    255,032.50x = 356,547.50 × 356,547.50
  4. Step 4: Simplify right side
    255,032.50x = 127,126,119,756.25
  5. Step 5: Solve for x
    x = 127,126,119,756.25/255,032.50
  6. Step 6: Final answer
    x = 498,470.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.