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Finding the Third Proportional to 374,235 and 586,389

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Solution

The third proportional to 374,235 and 586,389 is: 918,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,235 : 586,389 = 586,389 : x
  2. Step 2: Convert to fraction form
    374,235/586,389 = 586,389/x
  3. Step 3: Cross multiply
    374,235x = 586,389 × 586,389
  4. Step 4: Simplify right side
    374,235x = 343,852,059,321
  5. Step 5: Solve for x
    x = 343,852,059,321/374,235
  6. Step 6: Final answer
    x = 918,813.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.