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Finding the Third Proportional to 140,142,769 and 306,678,018

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Solution

The third proportional to 140,142,769 and 306,678,018 is: 671,111,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142,769 : 306,678,018 = 306,678,018 : x
  2. Step 2: Convert to fraction form
    140,142,769/306,678,018 = 306,678,018/x
  3. Step 3: Cross multiply
    140,142,769x = 306,678,018 × 306,678,018
  4. Step 4: Simplify right side
    140,142,769x = 94,051,406,724,408,320
  5. Step 5: Solve for x
    x = 94,051,406,724,408,320/140,142,769
  6. Step 6: Final answer
    x = 671,111,377.32

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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.