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Finding the Third Proportional to 320,806,583 and 687,655,389

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Solution

The third proportional to 320,806,583 and 687,655,389 is: 1,474,003,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,806,583 : 687,655,389 = 687,655,389 : x
  2. Step 2: Convert to fraction form
    320,806,583/687,655,389 = 687,655,389/x
  3. Step 3: Cross multiply
    320,806,583x = 687,655,389 × 687,655,389
  4. Step 4: Simplify right side
    320,806,583x = 472,869,934,020,741,312
  5. Step 5: Solve for x
    x = 472,869,934,020,741,312/320,806,583
  6. Step 6: Final answer
    x = 1,474,003,212.77

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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.