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Finding the Third Proportional to 258,449,319 and 553,227,705

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Solution

The third proportional to 258,449,319 and 553,227,705 is: 1,184,220,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,449,319 : 553,227,705 = 553,227,705 : x
  2. Step 2: Convert to fraction form
    258,449,319/553,227,705 = 553,227,705/x
  3. Step 3: Cross multiply
    258,449,319x = 553,227,705 × 553,227,705
  4. Step 4: Simplify right side
    258,449,319x = 306,060,893,579,567,040
  5. Step 5: Solve for x
    x = 306,060,893,579,567,040/258,449,319
  6. Step 6: Final answer
    x = 1,184,220,158.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.