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Finding the Third Proportional to 72,678,789 and 111,712,486.50

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Solution

The third proportional to 72,678,789 and 111,712,486.50 is: 171,710,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678,789 : 111,712,486.50 = 111,712,486.50 : x
  2. Step 2: Convert to fraction form
    72,678,789/111,712,486.50 = 111,712,486.50/x
  3. Step 3: Cross multiply
    72,678,789x = 111,712,486.50 × 111,712,486.50
  4. Step 4: Simplify right side
    72,678,789x = 12,479,679,640,012,682
  5. Step 5: Solve for x
    x = 12,479,679,640,012,682/72,678,789
  6. Step 6: Final answer
    x = 171,710,065.78

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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.