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Finding the Third Proportional to 258,629,391 and 564,663,978

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Solution

The third proportional to 258,629,391 and 564,663,978 is: 1,232,827,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,629,391 : 564,663,978 = 564,663,978 : x
  2. Step 2: Convert to fraction form
    258,629,391/564,663,978 = 564,663,978/x
  3. Step 3: Cross multiply
    258,629,391x = 564,663,978 × 564,663,978
  4. Step 4: Simplify right side
    258,629,391x = 318,845,408,050,784,512
  5. Step 5: Solve for x
    x = 318,845,408,050,784,512/258,629,391
  6. Step 6: Final answer
    x = 1,232,827,432.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.