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Finding the Third Proportional to 553,457.81 and 831,895.31

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Solution

The third proportional to 553,457.81 and 831,895.31 is: 1,250,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,457.81 : 831,895.31 = 831,895.31 : x
  2. Step 2: Convert to fraction form
    553,457.81/831,895.31 = 831,895.31/x
  3. Step 3: Cross multiply
    553,457.81x = 831,895.31 × 831,895.31
  4. Step 4: Simplify right side
    553,457.81x = 692,049,810,959.47
  5. Step 5: Solve for x
    x = 692,049,810,959.47/553,457.81
  6. Step 6: Final answer
    x = 1,250,411.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.