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Finding the Third Proportional to 460,320 and 688,560

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Solution

The third proportional to 460,320 and 688,560 is: 1,029,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,320 : 688,560 = 688,560 : x
  2. Step 2: Convert to fraction form
    460,320/688,560 = 688,560/x
  3. Step 3: Cross multiply
    460,320x = 688,560 × 688,560
  4. Step 4: Simplify right side
    460,320x = 474,114,873,600
  5. Step 5: Solve for x
    x = 474,114,873,600/460,320
  6. Step 6: Final answer
    x = 1,029,968.01

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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.