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Finding the Third Proportional to 456,492.38 and 712,374.75

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Solution

The third proportional to 456,492.38 and 712,374.75 is: 1,111,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,492.38 : 712,374.75 = 712,374.75 : x
  2. Step 2: Convert to fraction form
    456,492.38/712,374.75 = 712,374.75/x
  3. Step 3: Cross multiply
    456,492.38x = 712,374.75 × 712,374.75
  4. Step 4: Simplify right side
    456,492.38x = 507,477,784,437.56
  5. Step 5: Solve for x
    x = 507,477,784,437.56/456,492.38
  6. Step 6: Final answer
    x = 1,111,689.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.