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Finding the Third Proportional to 407,070 and 598,410

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Solution

The third proportional to 407,070 and 598,410 is: 879,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,070 : 598,410 = 598,410 : x
  2. Step 2: Convert to fraction form
    407,070/598,410 = 598,410/x
  3. Step 3: Cross multiply
    407,070x = 598,410 × 598,410
  4. Step 4: Simplify right side
    407,070x = 358,094,528,100
  5. Step 5: Solve for x
    x = 358,094,528,100/407,070
  6. Step 6: Final answer
    x = 879,687.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.