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Finding the Third Proportional to 67,920,840 and 146,654,127

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Solution

The third proportional to 67,920,840 and 146,654,127 is: 316,654,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,920,840 : 146,654,127 = 146,654,127 : x
  2. Step 2: Convert to fraction form
    67,920,840/146,654,127 = 146,654,127/x
  3. Step 3: Cross multiply
    67,920,840x = 146,654,127 × 146,654,127
  4. Step 4: Simplify right side
    67,920,840x = 21,507,432,966,132,128
  5. Step 5: Solve for x
    x = 21,507,432,966,132,128/67,920,840
  6. Step 6: Final answer
    x = 316,654,401.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.