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Finding the Third Proportional to 142,117,137 and 310,979,988

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Solution

The third proportional to 142,117,137 and 310,979,988 is: 680,484,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,117,137 : 310,979,988 = 310,979,988 : x
  2. Step 2: Convert to fraction form
    142,117,137/310,979,988 = 310,979,988/x
  3. Step 3: Cross multiply
    142,117,137x = 310,979,988 × 310,979,988
  4. Step 4: Simplify right side
    142,117,137x = 96,708,552,936,480,144
  5. Step 5: Solve for x
    x = 96,708,552,936,480,144/142,117,137
  6. Step 6: Final answer
    x = 680,484,809.77

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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.