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Finding the Third Proportional to 75,045 and 105,547.50

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Solution

The third proportional to 75,045 and 105,547.50 is: 148,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,045 : 105,547.50 = 105,547.50 : x
  2. Step 2: Convert to fraction form
    75,045/105,547.50 = 105,547.50/x
  3. Step 3: Cross multiply
    75,045x = 105,547.50 × 105,547.50
  4. Step 4: Simplify right side
    75,045x = 11,140,274,756.25
  5. Step 5: Solve for x
    x = 11,140,274,756.25/75,045
  6. Step 6: Final answer
    x = 148,447.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.