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Finding the Third Proportional to 219,584,379.38 and 292,746,505.50

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Solution

The third proportional to 219,584,379.38 and 292,746,505.50 is: 390,285,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,584,379.38 : 292,746,505.50 = 292,746,505.50 : x
  2. Step 2: Convert to fraction form
    219,584,379.38/292,746,505.50 = 292,746,505.50/x
  3. Step 3: Cross multiply
    219,584,379.38x = 292,746,505.50 × 292,746,505.50
  4. Step 4: Simplify right side
    219,584,379.38x = 85,700,516,482,461,536
  5. Step 5: Solve for x
    x = 85,700,516,482,461,536/219,584,379.38
  6. Step 6: Final answer
    x = 390,285,122.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.