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Finding the Third Proportional to 145,618,838 and 312,849,588

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Solution

The third proportional to 145,618,838 and 312,849,588 is: 672,130,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,618,838 : 312,849,588 = 312,849,588 : x
  2. Step 2: Convert to fraction form
    145,618,838/312,849,588 = 312,849,588/x
  3. Step 3: Cross multiply
    145,618,838x = 312,849,588 × 312,849,588
  4. Step 4: Simplify right side
    145,618,838x = 97,874,864,711,769,744
  5. Step 5: Solve for x
    x = 97,874,864,711,769,744/145,618,838
  6. Step 6: Final answer
    x = 672,130,515.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.