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Finding the Third Proportional to 142,279,730 and 306,130,084

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Solution

The third proportional to 142,279,730 and 306,130,084 is: 658,671,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279,730 : 306,130,084 = 306,130,084 : x
  2. Step 2: Convert to fraction form
    142,279,730/306,130,084 = 306,130,084/x
  3. Step 3: Cross multiply
    142,279,730x = 306,130,084 × 306,130,084
  4. Step 4: Simplify right side
    142,279,730x = 93,715,628,329,847,056
  5. Step 5: Solve for x
    x = 93,715,628,329,847,056/142,279,730
  6. Step 6: Final answer
    x = 658,671,676.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.