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Finding the Third Proportional to 243,585,120 and 351,938,432

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Solution

The third proportional to 243,585,120 and 351,938,432 is: 508,490,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,585,120 : 351,938,432 = 351,938,432 : x
  2. Step 2: Convert to fraction form
    243,585,120/351,938,432 = 351,938,432/x
  3. Step 3: Cross multiply
    243,585,120x = 351,938,432 × 351,938,432
  4. Step 4: Simplify right side
    243,585,120x = 123,860,659,918,618,624
  5. Step 5: Solve for x
    x = 123,860,659,918,618,624/243,585,120
  6. Step 6: Final answer
    x = 508,490,255.56

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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.