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Finding the Third Proportional to 69,041,220 and 146,596,431

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Solution

The third proportional to 69,041,220 and 146,596,431 is: 311,270,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,041,220 : 146,596,431 = 146,596,431 : x
  2. Step 2: Convert to fraction form
    69,041,220/146,596,431 = 146,596,431/x
  3. Step 3: Cross multiply
    69,041,220x = 146,596,431 × 146,596,431
  4. Step 4: Simplify right side
    69,041,220x = 21,490,513,581,937,760
  5. Step 5: Solve for x
    x = 21,490,513,581,937,760/69,041,220
  6. Step 6: Final answer
    x = 311,270,768.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.