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Finding the Third Proportional to 437,478,510.75 and 639,608,863.50

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Solution

The third proportional to 437,478,510.75 and 639,608,863.50 is: 935,130,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,478,510.75 : 639,608,863.50 = 639,608,863.50 : x
  2. Step 2: Convert to fraction form
    437,478,510.75/639,608,863.50 = 639,608,863.50/x
  3. Step 3: Cross multiply
    437,478,510.75x = 639,608,863.50 × 639,608,863.50
  4. Step 4: Simplify right side
    437,478,510.75x = 409,099,498,267,761,664
  5. Step 5: Solve for x
    x = 409,099,498,267,761,664/437,478,510.75
  6. Step 6: Final answer
    x = 935,130,499.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.