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Finding the Third Proportional to 344,904,918 and 520,938,261

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Solution

The third proportional to 344,904,918 and 520,938,261 is: 786,815,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,904,918 : 520,938,261 = 520,938,261 : x
  2. Step 2: Convert to fraction form
    344,904,918/520,938,261 = 520,938,261/x
  3. Step 3: Cross multiply
    344,904,918x = 520,938,261 × 520,938,261
  4. Step 4: Simplify right side
    344,904,918x = 271,376,671,773,704,128
  5. Step 5: Solve for x
    x = 271,376,671,773,704,128/344,904,918
  6. Step 6: Final answer
    x = 786,815,895.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.