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Finding the Third Proportional to 186,421,320 and 289,447,020

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Solution

The third proportional to 186,421,320 and 289,447,020 is: 449,409,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,421,320 : 289,447,020 = 289,447,020 : x
  2. Step 2: Convert to fraction form
    186,421,320/289,447,020 = 289,447,020/x
  3. Step 3: Cross multiply
    186,421,320x = 289,447,020 × 289,447,020
  4. Step 4: Simplify right side
    186,421,320x = 83,779,577,386,880,400
  5. Step 5: Solve for x
    x = 83,779,577,386,880,400/186,421,320
  6. Step 6: Final answer
    x = 449,409,849.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.