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Finding the Third Proportional to 93,897,216 and 205,710,336

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Solution

The third proportional to 93,897,216 and 205,710,336 is: 450,670,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,897,216 : 205,710,336 = 205,710,336 : x
  2. Step 2: Convert to fraction form
    93,897,216/205,710,336 = 205,710,336/x
  3. Step 3: Cross multiply
    93,897,216x = 205,710,336 × 205,710,336
  4. Step 4: Simplify right side
    93,897,216x = 42,316,742,337,232,896
  5. Step 5: Solve for x
    x = 42,316,742,337,232,896/93,897,216
  6. Step 6: Final answer
    x = 450,670,894.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.