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Finding the Third Proportional to 148,689,485 and 322,086,561.50

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Solution

The third proportional to 148,689,485 and 322,086,561.50 is: 697,693,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689,485 : 322,086,561.50 = 322,086,561.50 : x
  2. Step 2: Convert to fraction form
    148,689,485/322,086,561.50 = 322,086,561.50/x
  3. Step 3: Cross multiply
    148,689,485x = 322,086,561.50 × 322,086,561.50
  4. Step 4: Simplify right side
    148,689,485x = 103,739,753,098,893,280
  5. Step 5: Solve for x
    x = 103,739,753,098,893,280/148,689,485
  6. Step 6: Final answer
    x = 697,693,943.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.