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Finding the Third Proportional to 788,313 and 1,217,405

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Solution

The third proportional to 788,313 and 1,217,405 is: 1,880,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,313 : 1,217,405 = 1,217,405 : x
  2. Step 2: Convert to fraction form
    788,313/1,217,405 = 1,217,405/x
  3. Step 3: Cross multiply
    788,313x = 1,217,405 × 1,217,405
  4. Step 4: Simplify right side
    788,313x = 1,482,074,934,025
  5. Step 5: Solve for x
    x = 1,482,074,934,025/788,313
  6. Step 6: Final answer
    x = 1,880,058.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.