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Finding the Third Proportional to 30,877,707 and 45,418,432.50

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Solution

The third proportional to 30,877,707 and 45,418,432.50 is: 66,806,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877,707 : 45,418,432.50 = 45,418,432.50 : x
  2. Step 2: Convert to fraction form
    30,877,707/45,418,432.50 = 45,418,432.50/x
  3. Step 3: Cross multiply
    30,877,707x = 45,418,432.50 × 45,418,432.50
  4. Step 4: Simplify right side
    30,877,707x = 2,062,834,010,757,056.25
  5. Step 5: Solve for x
    x = 2,062,834,010,757,056.25/30,877,707
  6. Step 6: Final answer
    x = 66,806,580.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.