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Finding the Third Proportional to 31,788,359 and 68,658,576

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Solution

The third proportional to 31,788,359 and 68,658,576 is: 148,293,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788,359 : 68,658,576 = 68,658,576 : x
  2. Step 2: Convert to fraction form
    31,788,359/68,658,576 = 68,658,576/x
  3. Step 3: Cross multiply
    31,788,359x = 68,658,576 × 68,658,576
  4. Step 4: Simplify right side
    31,788,359x = 4,714,000,058,347,776
  5. Step 5: Solve for x
    x = 4,714,000,058,347,776/31,788,359
  6. Step 6: Final answer
    x = 148,293,281.15

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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.