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Finding the Third Proportional to 145,575 and 308,646

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Solution

The third proportional to 145,575 and 308,646 is: 654,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,575 : 308,646 = 308,646 : x
  2. Step 2: Convert to fraction form
    145,575/308,646 = 308,646/x
  3. Step 3: Cross multiply
    145,575x = 308,646 × 308,646
  4. Step 4: Simplify right side
    145,575x = 95,262,353,316
  5. Step 5: Solve for x
    x = 95,262,353,316/145,575
  6. Step 6: Final answer
    x = 654,386.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.