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Finding the Third Proportional to 349,715 and 540,070

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Solution

The third proportional to 349,715 and 540,070 is: 834,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,715 : 540,070 = 540,070 : x
  2. Step 2: Convert to fraction form
    349,715/540,070 = 540,070/x
  3. Step 3: Cross multiply
    349,715x = 540,070 × 540,070
  4. Step 4: Simplify right side
    349,715x = 291,675,604,900
  5. Step 5: Solve for x
    x = 291,675,604,900/349,715
  6. Step 6: Final answer
    x = 834,038.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.