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Finding the Third Proportional to 234,987,205 and 509,013,386

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Solution

The third proportional to 234,987,205 and 509,013,386 is: 1,102,590,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,987,205 : 509,013,386 = 509,013,386 : x
  2. Step 2: Convert to fraction form
    234,987,205/509,013,386 = 509,013,386/x
  3. Step 3: Cross multiply
    234,987,205x = 509,013,386 × 509,013,386
  4. Step 4: Simplify right side
    234,987,205x = 259,094,627,127,184,992
  5. Step 5: Solve for x
    x = 259,094,627,127,184,992/234,987,205
  6. Step 6: Final answer
    x = 1,102,590,360.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.