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Finding the Third Proportional to 132,429,253.50 and 309,316,072.50

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Solution

The third proportional to 132,429,253.50 and 309,316,072.50 is: 722,472,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429,253.50 : 309,316,072.50 = 309,316,072.50 : x
  2. Step 2: Convert to fraction form
    132,429,253.50/309,316,072.50 = 309,316,072.50/x
  3. Step 3: Cross multiply
    132,429,253.50x = 309,316,072.50 × 309,316,072.50
  4. Step 4: Simplify right side
    132,429,253.50x = 95,676,432,706,825,264
  5. Step 5: Solve for x
    x = 95,676,432,706,825,264/132,429,253.50
  6. Step 6: Final answer
    x = 722,472,038.30

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.