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Finding the Third Proportional to 182,368 and 390,688

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Solution

The third proportional to 182,368 and 390,688 is: 836,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,368 : 390,688 = 390,688 : x
  2. Step 2: Convert to fraction form
    182,368/390,688 = 390,688/x
  3. Step 3: Cross multiply
    182,368x = 390,688 × 390,688
  4. Step 4: Simplify right side
    182,368x = 152,637,113,344
  5. Step 5: Solve for x
    x = 152,637,113,344/182,368
  6. Step 6: Final answer
    x = 836,973.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.