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Finding the Third Proportional to 208,562,942 and 315,528,712

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Solution

The third proportional to 208,562,942 and 315,528,712 is: 477,354,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562,942 : 315,528,712 = 315,528,712 : x
  2. Step 2: Convert to fraction form
    208,562,942/315,528,712 = 315,528,712/x
  3. Step 3: Cross multiply
    208,562,942x = 315,528,712 × 315,528,712
  4. Step 4: Simplify right side
    208,562,942x = 99,558,368,096,378,944
  5. Step 5: Solve for x
    x = 99,558,368,096,378,944/208,562,942
  6. Step 6: Final answer
    x = 477,354,064.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.