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Finding the Third Proportional to 111,735,489.38 and 240,547,558.50

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Solution

The third proportional to 111,735,489.38 and 240,547,558.50 is: 517,858,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,735,489.38 : 240,547,558.50 = 240,547,558.50 : x
  2. Step 2: Convert to fraction form
    111,735,489.38/240,547,558.50 = 240,547,558.50/x
  3. Step 3: Cross multiply
    111,735,489.38x = 240,547,558.50 × 240,547,558.50
  4. Step 4: Simplify right side
    111,735,489.38x = 57,863,127,900,310,920
  5. Step 5: Solve for x
    x = 57,863,127,900,310,920/111,735,489.38
  6. Step 6: Final answer
    x = 517,858,097.05

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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.