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Finding the Third Proportional to 243,585,172 and 351,938,498

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Solution

The third proportional to 243,585,172 and 351,938,498 is: 508,490,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,585,172 : 351,938,498 = 351,938,498 : x
  2. Step 2: Convert to fraction form
    243,585,172/351,938,498 = 351,938,498/x
  3. Step 3: Cross multiply
    243,585,172x = 351,938,498 × 351,938,498
  4. Step 4: Simplify right side
    243,585,172x = 123,860,706,374,496,000
  5. Step 5: Solve for x
    x = 123,860,706,374,496,000/243,585,172
  6. Step 6: Final answer
    x = 508,490,337.72

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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.