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Finding the Third Proportional to 298,875,784 and 648,767,168

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Solution

The third proportional to 298,875,784 and 648,767,168 is: 1,408,273,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,875,784 : 648,767,168 = 648,767,168 : x
  2. Step 2: Convert to fraction form
    298,875,784/648,767,168 = 648,767,168/x
  3. Step 3: Cross multiply
    298,875,784x = 648,767,168 × 648,767,168
  4. Step 4: Simplify right side
    298,875,784x = 420,898,838,274,740,224
  5. Step 5: Solve for x
    x = 420,898,838,274,740,224/298,875,784
  6. Step 6: Final answer
    x = 1,408,273,472.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.