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Finding the Third Proportional to 438,988,770 and 630,980,856

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Solution

The third proportional to 438,988,770 and 630,980,856 is: 906,940,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,988,770 : 630,980,856 = 630,980,856 : x
  2. Step 2: Convert to fraction form
    438,988,770/630,980,856 = 630,980,856/x
  3. Step 3: Cross multiply
    438,988,770x = 630,980,856 × 630,980,856
  4. Step 4: Simplify right side
    438,988,770x = 398,136,840,638,492,736
  5. Step 5: Solve for x
    x = 398,136,840,638,492,736/438,988,770
  6. Step 6: Final answer
    x = 906,940,832.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.