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Finding the Third Proportional to 708,488 and 1,528,920

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Solution

The third proportional to 708,488 and 1,528,920 is: 3,299,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,488 : 1,528,920 = 1,528,920 : x
  2. Step 2: Convert to fraction form
    708,488/1,528,920 = 1,528,920/x
  3. Step 3: Cross multiply
    708,488x = 1,528,920 × 1,528,920
  4. Step 4: Simplify right side
    708,488x = 2,337,596,366,400
  5. Step 5: Solve for x
    x = 2,337,596,366,400/708,488
  6. Step 6: Final answer
    x = 3,299,415.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.