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Finding the Third Proportional to 328,873,813,996 and 523,302,890,346

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Solution

The third proportional to 328,873,813,996 and 523,302,890,346 is: 832,677,773,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,873,813,996 : 523,302,890,346 = 523,302,890,346 : x
  2. Step 2: Convert to fraction form
    328,873,813,996/523,302,890,346 = 523,302,890,346/x
  3. Step 3: Cross multiply
    328,873,813,996x = 523,302,890,346 × 523,302,890,346
  4. Step 4: Simplify right side
    328,873,813,996x = 273,845,915,044,477,688,348,672
  5. Step 5: Solve for x
    x = 273,845,915,044,477,688,348,672/328,873,813,996
  6. Step 6: Final answer
    x = 832,677,773,025.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.