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Finding the Third Proportional to 138,471,688.50 and 219,266,374.50

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Solution

The third proportional to 138,471,688.50 and 219,266,374.50 is: 347,202,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471,688.50 : 219,266,374.50 = 219,266,374.50 : x
  2. Step 2: Convert to fraction form
    138,471,688.50/219,266,374.50 = 219,266,374.50/x
  3. Step 3: Cross multiply
    138,471,688.50x = 219,266,374.50 × 219,266,374.50
  4. Step 4: Simplify right side
    138,471,688.50x = 48,077,742,986,374,248
  5. Step 5: Solve for x
    x = 48,077,742,986,374,248/138,471,688.50
  6. Step 6: Final answer
    x = 347,202,691.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.