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Finding the Third Proportional to 153,043,742.50 and 312,511,216

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Solution

The third proportional to 153,043,742.50 and 312,511,216 is: 638,139,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,043,742.50 : 312,511,216 = 312,511,216 : x
  2. Step 2: Convert to fraction form
    153,043,742.50/312,511,216 = 312,511,216/x
  3. Step 3: Cross multiply
    153,043,742.50x = 312,511,216 × 312,511,216
  4. Step 4: Simplify right side
    153,043,742.50x = 97,663,260,125,798,656
  5. Step 5: Solve for x
    x = 97,663,260,125,798,656/153,043,742.50
  6. Step 6: Final answer
    x = 638,139,518.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.