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Finding the Third Proportional to 145,428 and 317,136

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Solution

The third proportional to 145,428 and 317,136 is: 691,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,428 : 317,136 = 317,136 : x
  2. Step 2: Convert to fraction form
    145,428/317,136 = 317,136/x
  3. Step 3: Cross multiply
    145,428x = 317,136 × 317,136
  4. Step 4: Simplify right side
    145,428x = 100,575,242,496
  5. Step 5: Solve for x
    x = 100,575,242,496/145,428
  6. Step 6: Final answer
    x = 691,581.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.