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Finding the Third Proportional to 523,398 and 830,136

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Solution

The third proportional to 523,398 and 830,136 is: 1,316,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,398 : 830,136 = 830,136 : x
  2. Step 2: Convert to fraction form
    523,398/830,136 = 830,136/x
  3. Step 3: Cross multiply
    523,398x = 830,136 × 830,136
  4. Step 4: Simplify right side
    523,398x = 689,125,778,496
  5. Step 5: Solve for x
    x = 689,125,778,496/523,398
  6. Step 6: Final answer
    x = 1,316,638.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.