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Finding the Third Proportional to 145,770 and 314,508

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Solution

The third proportional to 145,770 and 314,508 is: 678,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,770 : 314,508 = 314,508 : x
  2. Step 2: Convert to fraction form
    145,770/314,508 = 314,508/x
  3. Step 3: Cross multiply
    145,770x = 314,508 × 314,508
  4. Step 4: Simplify right side
    145,770x = 98,915,282,064
  5. Step 5: Solve for x
    x = 98,915,282,064/145,770
  6. Step 6: Final answer
    x = 678,570.91

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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.