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Finding the Third Proportional to 145,290,029 and 309,976,841

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Solution

The third proportional to 145,290,029 and 309,976,841 is: 661,336,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,290,029 : 309,976,841 = 309,976,841 : x
  2. Step 2: Convert to fraction form
    145,290,029/309,976,841 = 309,976,841/x
  3. Step 3: Cross multiply
    145,290,029x = 309,976,841 × 309,976,841
  4. Step 4: Simplify right side
    145,290,029x = 96,085,641,956,339,280
  5. Step 5: Solve for x
    x = 96,085,641,956,339,280/145,290,029
  6. Step 6: Final answer
    x = 661,336,793.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.