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Finding the Third Proportional to 413,525,963 and 640,229,201

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Solution

The third proportional to 413,525,963 and 640,229,201 is: 991,215,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525,963 : 640,229,201 = 640,229,201 : x
  2. Step 2: Convert to fraction form
    413,525,963/640,229,201 = 640,229,201/x
  3. Step 3: Cross multiply
    413,525,963x = 640,229,201 × 640,229,201
  4. Step 4: Simplify right side
    413,525,963x = 409,893,429,813,098,432
  5. Step 5: Solve for x
    x = 409,893,429,813,098,432/413,525,963
  6. Step 6: Final answer
    x = 991,215,707.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.