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Finding the Third Proportional to 90,547.50 and 137,326.50

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Solution

The third proportional to 90,547.50 and 137,326.50 is: 208,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,547.50 : 137,326.50 = 137,326.50 : x
  2. Step 2: Convert to fraction form
    90,547.50/137,326.50 = 137,326.50/x
  3. Step 3: Cross multiply
    90,547.50x = 137,326.50 × 137,326.50
  4. Step 4: Simplify right side
    90,547.50x = 18,858,567,602.25
  5. Step 5: Solve for x
    x = 18,858,567,602.25/90,547.50
  6. Step 6: Final answer
    x = 208,272.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.