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Finding the Third Proportional to 971,298 and 1,520,347.50

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Solution

The third proportional to 971,298 and 1,520,347.50 is: 2,379,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,298 : 1,520,347.50 = 1,520,347.50 : x
  2. Step 2: Convert to fraction form
    971,298/1,520,347.50 = 1,520,347.50/x
  3. Step 3: Cross multiply
    971,298x = 1,520,347.50 × 1,520,347.50
  4. Step 4: Simplify right side
    971,298x = 2,311,456,520,756.25
  5. Step 5: Solve for x
    x = 2,311,456,520,756.25/971,298
  6. Step 6: Final answer
    x = 2,379,760.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.