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Finding the Third Proportional to 258,411,732 and 397,196,656.50

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Solution

The third proportional to 258,411,732 and 397,196,656.50 is: 610,518,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411,732 : 397,196,656.50 = 397,196,656.50 : x
  2. Step 2: Convert to fraction form
    258,411,732/397,196,656.50 = 397,196,656.50/x
  3. Step 3: Cross multiply
    258,411,732x = 397,196,656.50 × 397,196,656.50
  4. Step 4: Simplify right side
    258,411,732x = 157,765,183,934,779,008
  5. Step 5: Solve for x
    x = 157,765,183,934,779,008/258,411,732
  6. Step 6: Final answer
    x = 610,518,658.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.