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Finding the Third Proportional to 476,905 and 716,280

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Solution

The third proportional to 476,905 and 716,280 is: 1,075,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,905 : 716,280 = 716,280 : x
  2. Step 2: Convert to fraction form
    476,905/716,280 = 716,280/x
  3. Step 3: Cross multiply
    476,905x = 716,280 × 716,280
  4. Step 4: Simplify right side
    476,905x = 513,057,038,400
  5. Step 5: Solve for x
    x = 513,057,038,400/476,905
  6. Step 6: Final answer
    x = 1,075,805.53

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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.