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Finding the Third Proportional to 708,784 and 1,515,920

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Solution

The third proportional to 708,784 and 1,515,920 is: 3,242,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,784 : 1,515,920 = 1,515,920 : x
  2. Step 2: Convert to fraction form
    708,784/1,515,920 = 1,515,920/x
  3. Step 3: Cross multiply
    708,784x = 1,515,920 × 1,515,920
  4. Step 4: Simplify right side
    708,784x = 2,298,013,446,400
  5. Step 5: Solve for x
    x = 2,298,013,446,400/708,784
  6. Step 6: Final answer
    x = 3,242,191.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.