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Finding the Third Proportional to 688,459 and 1,052,407.50

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Solution

The third proportional to 688,459 and 1,052,407.50 is: 1,608,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,459 : 1,052,407.50 = 1,052,407.50 : x
  2. Step 2: Convert to fraction form
    688,459/1,052,407.50 = 1,052,407.50/x
  3. Step 3: Cross multiply
    688,459x = 1,052,407.50 × 1,052,407.50
  4. Step 4: Simplify right side
    688,459x = 1,107,561,546,056.25
  5. Step 5: Solve for x
    x = 1,107,561,546,056.25/688,459
  6. Step 6: Final answer
    x = 1,608,754.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.