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Finding the Third Proportional to 31,689,002.25 and 66,782,547

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Solution

The third proportional to 31,689,002.25 and 66,782,547 is: 140,739,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689,002.25 : 66,782,547 = 66,782,547 : x
  2. Step 2: Convert to fraction form
    31,689,002.25/66,782,547 = 66,782,547/x
  3. Step 3: Cross multiply
    31,689,002.25x = 66,782,547 × 66,782,547
  4. Step 4: Simplify right side
    31,689,002.25x = 4,459,908,583,807,209
  5. Step 5: Solve for x
    x = 4,459,908,583,807,209/31,689,002.25
  6. Step 6: Final answer
    x = 140,739,949.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.