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Finding the Third Proportional to 243,585,144 and 351,938,457

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Solution

The third proportional to 243,585,144 and 351,938,457 is: 508,490,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,585,144 : 351,938,457 = 351,938,457 : x
  2. Step 2: Convert to fraction form
    243,585,144/351,938,457 = 351,938,457/x
  3. Step 3: Cross multiply
    243,585,144x = 351,938,457 × 351,938,457
  4. Step 4: Simplify right side
    243,585,144x = 123,860,677,515,540,848
  5. Step 5: Solve for x
    x = 123,860,677,515,540,848/243,585,144
  6. Step 6: Final answer
    x = 508,490,277.70

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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.