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Finding the Third Proportional to 234,480,834 and 344,900,857.50

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Solution

The third proportional to 234,480,834 and 344,900,857.50 is: 507,319,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,480,834 : 344,900,857.50 = 344,900,857.50 : x
  2. Step 2: Convert to fraction form
    234,480,834/344,900,857.50 = 344,900,857.50/x
  3. Step 3: Cross multiply
    234,480,834x = 344,900,857.50 × 344,900,857.50
  4. Step 4: Simplify right side
    234,480,834x = 118,956,601,504,235,312
  5. Step 5: Solve for x
    x = 118,956,601,504,235,312/234,480,834
  6. Step 6: Final answer
    x = 507,319,082.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.