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Finding the Third Proportional to 613,710,548 and 1,346,238,619

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Solution

The third proportional to 613,710,548 and 1,346,238,619 is: 2,953,115,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,710,548 : 1,346,238,619 = 1,346,238,619 : x
  2. Step 2: Convert to fraction form
    613,710,548/1,346,238,619 = 1,346,238,619/x
  3. Step 3: Cross multiply
    613,710,548x = 1,346,238,619 × 1,346,238,619
  4. Step 4: Simplify right side
    613,710,548x = 1,812,358,419,287,027,200
  5. Step 5: Solve for x
    x = 1,812,358,419,287,027,200/613,710,548
  6. Step 6: Final answer
    x = 2,953,115,968.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.