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Finding the Third Proportional to 344,116,011.50 and 526,048,807

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Solution

The third proportional to 344,116,011.50 and 526,048,807 is: 804,168,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,116,011.50 : 526,048,807 = 526,048,807 : x
  2. Step 2: Convert to fraction form
    344,116,011.50/526,048,807 = 526,048,807/x
  3. Step 3: Cross multiply
    344,116,011.50x = 526,048,807 × 526,048,807
  4. Step 4: Simplify right side
    344,116,011.50x = 276,727,347,346,123,264
  5. Step 5: Solve for x
    x = 276,727,347,346,123,264/344,116,011.50
  6. Step 6: Final answer
    x = 804,168,763.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.