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Finding the Third Proportional to 425,416 and 872,688

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Solution

The third proportional to 425,416 and 872,688 is: 1,790,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,416 : 872,688 = 872,688 : x
  2. Step 2: Convert to fraction form
    425,416/872,688 = 872,688/x
  3. Step 3: Cross multiply
    425,416x = 872,688 × 872,688
  4. Step 4: Simplify right side
    425,416x = 761,584,345,344
  5. Step 5: Solve for x
    x = 761,584,345,344/425,416
  6. Step 6: Final answer
    x = 1,790,210.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.