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Finding the Third Proportional to 74,602,964 and 160,543,340.50

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Solution

The third proportional to 74,602,964 and 160,543,340.50 is: 345,484,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602,964 : 160,543,340.50 = 160,543,340.50 : x
  2. Step 2: Convert to fraction form
    74,602,964/160,543,340.50 = 160,543,340.50/x
  3. Step 3: Cross multiply
    74,602,964x = 160,543,340.50 × 160,543,340.50
  4. Step 4: Simplify right side
    74,602,964x = 25,774,164,178,898,940
  5. Step 5: Solve for x
    x = 25,774,164,178,898,940/74,602,964
  6. Step 6: Final answer
    x = 345,484,452.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.