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Finding the Third Proportional to 31,581,386 and 69,106,312

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Solution

The third proportional to 31,581,386 and 69,106,312 is: 151,218,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,581,386 : 69,106,312 = 69,106,312 : x
  2. Step 2: Convert to fraction form
    31,581,386/69,106,312 = 69,106,312/x
  3. Step 3: Cross multiply
    31,581,386x = 69,106,312 × 69,106,312
  4. Step 4: Simplify right side
    31,581,386x = 4,775,682,358,241,344
  5. Step 5: Solve for x
    x = 4,775,682,358,241,344/31,581,386
  6. Step 6: Final answer
    x = 151,218,263.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.