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Finding the Third Proportional to 312,784 and 687,776

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Solution

The third proportional to 312,784 and 687,776 is: 1,512,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,784 : 687,776 = 687,776 : x
  2. Step 2: Convert to fraction form
    312,784/687,776 = 687,776/x
  3. Step 3: Cross multiply
    312,784x = 687,776 × 687,776
  4. Step 4: Simplify right side
    312,784x = 473,035,826,176
  5. Step 5: Solve for x
    x = 473,035,826,176/312,784
  6. Step 6: Final answer
    x = 1,512,340.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.