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Finding the Third Proportional to 30,609,127.50 and 67,270,570.50

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Solution

The third proportional to 30,609,127.50 and 67,270,570.50 is: 147,842,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609,127.50 : 67,270,570.50 = 67,270,570.50 : x
  2. Step 2: Convert to fraction form
    30,609,127.50/67,270,570.50 = 67,270,570.50/x
  3. Step 3: Cross multiply
    30,609,127.50x = 67,270,570.50 × 67,270,570.50
  4. Step 4: Simplify right side
    30,609,127.50x = 4,525,329,655,395,470
  5. Step 5: Solve for x
    x = 4,525,329,655,395,470/30,609,127.50
  6. Step 6: Final answer
    x = 147,842,490.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.