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Finding the Third Proportional to 145,830 and 314,421

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Solution

The third proportional to 145,830 and 314,421 is: 677,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830 : 314,421 = 314,421 : x
  2. Step 2: Convert to fraction form
    145,830/314,421 = 314,421/x
  3. Step 3: Cross multiply
    145,830x = 314,421 × 314,421
  4. Step 4: Simplify right side
    145,830x = 98,860,565,241
  5. Step 5: Solve for x
    x = 98,860,565,241/145,830
  6. Step 6: Final answer
    x = 677,916.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.